https://ejpam.com/index.php/ejpam/issue/feedEuropean Journal of Pure and Applied Mathematics2019-11-08T08:24:44+00:00Editorial Office, EJPAMeditor@ejpam.comOpen Journal Systems<h3>Welcome</h3> <p align="justify"> </p> <p align="justify"><em>European Journal of Pure and Applied Mathematics</em> is an Open Access international, peer-reviewed electronic journal which is devoted to high-quality and original research in the fields of pure and applied mathematics and their teaching and learning. The aim of the journal is to provide a medium by which a wide range of experience can be exchanged among researchers from diverse fields such as engineering, natural sciences or social sciences. This journal publishes high quality researches in the fields of contemporary pure and applied mathematics with a broad range of topics including algebra, topology, number theory, nonlinear analysis, mathematical methods in operations research, theoretical statistics and econometrics, and theoretical computer science.</p> <p align="justify">Open Access which is a paradigm shift in scholarly publishing means you can publish your research so it is free to access online as soon as it is published, that is, anyone can read (and circulate) freely and cite your work. Many funding agencies mandate publishing your research open access.</p> <p align="justify"><em>Editorial Board</em></p> <p align="justify">The<strong> </strong>Editorial Board consists of prominent scientists as some are Nobel Laureates.</p> <p align="justify">See <a href="/index.php/ejpam/about/editorialTeam">editorial board</a> details.</p> <p><em>Journal Impact</em><strong> </strong></p> <ul style="list-style-type: square;"> <li class="MsoNormal">Clarivate Analytics Web of Science Citation Report: Average citation per paper (impact factor): 0.61 between 2015 and 2018 from Web of Science Core Collection. This report reflects citations to source papers indexed within Web of Science Core Collection- retrieved on May 29, 2019. </li> <li class="MsoNormal">Clarivate Analytics Web of Science Citation Report: Average citation per paper (impact factor): 4.13 between 2008 and 2018 from Web of Science Core Collection. This report also includes citations to papers published before 2015, the starting year for the inclusion of EJPAM in Clarivate Analytics, within Web of Science Core Collection- retrieved on May 29, 2019.</li> <li class="MsoNormal">Harzing's Publish or Perish software: Cites/paper (impact factor): 5.41 and h-index: 24 between 2008 and 2018 from Google Scholar- retrieved on May 29, 2019. </li> </ul> <p><em>Abstracted/Indexed in:</em></p> <p align="justify">Clarivate Analytics Emerging Sources Citation Index (ESCI), Web of Science, SCOPUS, Mathematical Reviews, EBSCO, Chambridge Scientific Abstracts, IndexCopernicus™, International Abstracts in Operations Research, Ulrich's Periodicals Directory, <a title="Arastirmax Bilimsel Yayın İndeksi" href="http://www.arastirmax.com/dergi/european-journal-pure-and-applied-mathematics" target="_blank" rel="noopener">Arastirmax</a>.</p> <p align="justify"><em>Publisher</em></p> <p align="justify">European Journal of Pure and Applied Mathematics is published by <em>New York Business Global, USA</em>.</p> <p align="justify"><em><em><span class="gmail_default"></span></em></em><em>Prestigious Contributors</em></p> <div> <div><span class="gmail_default">In addition to Nobel Laureates and Abel Prize </span>Laureates<span class="gmail_default">, m</span>any researchers, authors and Editorial Board members<span class="gmail_default"> at academic institutions such as University of Oxford, Harvard University, MIT, Stanford University, Princeton University, University of Chicago, Imperial College London and Berkeley, </span>and <span class="gmail_default">other institutions including Royal Statistical Society and Japan Statistical Society </span>have<span class="gmail_default"> been</span> contribut<span class="gmail_default">ing</span> to EJPAM<span class="gmail_default">. Join them by submitting a paper.</span></div> </div> <div> </div> <div><em>Funding<span class="gmail_default">/Granting</span> Institutions</em></div> <div><em> </em></div> <div>Over the course of journal history, a majority of papers published at EJPAM have been financially supported by numerious leading universities and funding agencies all over the world including from University of Oxford, Danish National Research Foundation and Research Council of Norway to Robertson Foundation and King Abdulaziz <span class="gmail_default">City for Science and Technology</span>, to National Natural Science Foundation of China and European Commission.</div> <div> </div> <div>ISSN:1307-5543 <br />Published by New York Business Global, Maryland, USA<br />Inaugural publication: January 2008 <br />The journal is quarterly</div>https://ejpam.com/index.php/ejpam/article/view/3534Monotone Flows with Dense Periodic Orbits2019-11-07T11:40:23+00:00Morris W. Hirschmwhirsch@chorus.netThe main result is Theorem 1: A flow on a connected open set X ⊂ R d is globally periodic provided (i) periodic points are dense in X, and (ii) at all positive times the flow preserves the partial order defined by a closed convex cone that has nonempty interior and contains no straight line. The proof uses the analog for homeomorphisms due to B. Lemmens et al. [27], a classical theorem of D. Montgomery [31, 32], and a sufficient condition for the nonstationary periodic points in a closed order interval to have rationally related periods (Theorem 2).2019-10-31T11:26:52+00:00Copyright (c) 2019 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3517Optimal Solution Properties of an Overdetermined System of Linear Equations2019-11-06T09:13:10+00:00Vedran NovoselacVedran.Novoselac@sfsb.hrZlatko PavicZlatko.Pavic@sfsb.hr<p>The paper considers the solution properties of an overdetermined system of linear equations in a given norm. The problem is observed as a minimization of the corresponding functional of the errors. Presenting the main results of $p$ norm it is shown that the functional is convex. Following the convex properties we examine minimization properties showing that the problem possesses regression, scale, and affine equivariant properties. As an example we illustrated the problem of finding weighted mean and weighted median of the data.</p>2019-10-31T11:26:52+00:00Copyright (c) 2019 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3484Forcing Independent Domination Number of a Graph2019-11-06T09:13:10+00:00Cris Laquibla Armadacris.armada@g.msuiit.edu.phSergio, Jr. R. Canoyserge_canoy@yahoo.comIn this paper, we obtain the forcing independent domination number of some special graphs. Further, we determine the forcing independent domination number of graphs under some binary operations such join, corona and lexicographic product of two graphs.2019-10-31T11:26:52+00:00Copyright (c) 2019 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3543Neutrosophic Set Theory Applied to UP-Algebras2019-11-06T09:13:10+00:00Metawee Songsaengmetawee.faith@gmail.comAiyared Iampanaiyared.ia@up.ac.th<p>The notions of neutrosophic UP-subalgebras, neutrosophic near UP-filters, neutrosophic UP-filters, neutrosophic UP-ideals, and neutrosophic strongly UP-ideals of UP-algebras are introduced, and several properties are investigated. Conditions for neutrosophic sets to be neutrosophic UP-subalgebras, neutrosophic near UP-filters, neutrosophic UP-filters, neutrosophic UP-ideals, and neutrosophic strongly UP-ideals of UP-algebras are provided. Relations between neutrosophic UP-subalgebras (resp., neutrosophic near UP-filters, neutrosophic UP-filters, neutrosophic UP-ideals, neutrosophic strongly UP-ideals) and their level subsets are considered.</p>2019-10-31T11:26:52+00:00Copyright (c) 2019 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3501On Semitotal Domination in Graphs2019-11-06T09:13:10+00:00Imelda S. Aniversarioferdinand.jamil@g.msuiit.edu.phSergio R. Canoy Jr.sergio.canoy@g.msuiit.edu.phFerdinand P. Jamilferdinand.jamil@g.msuiit.edu.ph<p class="p1">A set $S$ of vertices of a connected graph $G$ is a semitotal dominating set if every vertex in $V(G)\setminus S$ is adjacent to a vertex in $S$, and every vertex in $S$ is of distance at most $2$ from another vertex in $S$. A semitotal dominating set $S$ in $G$ is a secure semitotal dominating set if for every $v\in V(G)\setminus S$, there is a vertex $x\in S$ such that $x$ is adjacent to $v$ and<span class="Apple-converted-space"> </span>that $\left(S\setminus\{x\}\right)\cup \{v\}$ is a semitotal dominating set in $G$. In this paper, we characterize the semitotal dominating sets and the secure semitotal dominating sets in the join, corona and lexicographic product of graphs and determine their corresponding semitotal domination and secure semitotal domination numbers.</p>2019-10-31T11:26:52+00:00Copyright (c) 2019 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3546The Mathematical Modelling of Refuse Build-up on the University Campus: A Case Study of KNUST Campus2019-11-06T09:13:10+00:00Benedict Barnesewiekwamina@gmail.comI. A. Adjeiewiekwamina@gmail.comC. Sebilewiekwamina@gmail.comIn this paper, xyzw model is introduced which characterizes the solid waste generated by the four departments in the university. Thus, the refuse on the street x, in the gutters y, in the dustbins z and dumpsite w. From the qualitative analysis of xyzw model, it revealed that the refuse in these departments piles up as the time increases indeﬁnitely. Based on the analysis of data from the KNUST campus the refuse keeps on piling up. This reveals that the trucks are not able to adequately carry refuse from three departments: street, gutters and dustbins to the dumpsite as expected by the university authority. This comes as a result of overﬂows from the dustbins at some vantage points in the university. In practice, the waste in gutters and on street are collected and deposit it in these dustbins (with varying volumes) everyday, but the trucks are not able to convey all the quantum of waste in these dustbins to the dumpsite thereby resulting in refuse pile up on campus of the university2019-10-31T11:26:52+00:00Copyright (c) 2019 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3515The Smoothness of Schrodinger Operator with Electromagnetic Potential2019-11-06T09:13:10+00:00Yahea Hashem Saleemhadeelali2007@yahoo.comHadeel Ali Shubberhadeelali2007@yahoo.com<p>In this paper, we prove that the Feynman-Kac It^o formula of the Schrodinger operator with electromagnetic (t; x) in equation (1) in [8] is dierentiable of the variable t, and so establish that the innitely dierentiable in a region, therefore, investigate smoothness of this function.</p>2019-10-31T11:26:52+00:00Copyright (c) 2019 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3550Hop Dominating Sets in Graphs Under Binary Operations2019-11-06T09:13:10+00:00Sergio Canoy, Jrserge.canoy@yahoo.comReynaldo Villarobe Mollejonrezaiyeh18@gmail.comJohn Gabriel E. Canoyserge.canoy@yahoo.com<p>Let G be a (simple) connected graph with vertex and edge sets V (G) and E(G),<br />respectively. A set S ⊆ V (G) is a hop dominating set of G if for each v ∈ V (G) \ S, there exists w ∈ S such that dG(v, w) = 2. The minimum cardinality of a hop dominating set of G, denoted by γh(G), is called the hop domination number of G. In this paper we revisit the concept of hop domination, relate it with other domination concepts, and investigate it in graphs resulting from some binary operations.</p>2019-10-31T11:26:52+00:00Copyright (c) 2019 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3538The Higher-Order CESE Method for Two-dimensional Shallow Water Magnetohydrodynamics Equations2019-11-06T09:13:10+00:00Sidrah Ahmeddr.sidrah@iba-suk.edu.pkSaqib Ziasaqibzia81@hotmail.comThe numerical solution of two-dimensional shallow water magnetohydrodynamics model is obtained using the $4^{th}$-order conservation element solution element method (CESE). The method is based on unified treatment of spatial and temporal dimensions contrary to the finite difference and finite volume methods. The higher-order CESE scheme is constructed using same definitions of conservation and solution elements that are used for $2^{nd}$-order CESE scheme formulation. Hence it is more convenient to increase accuracy of CESE methods as compared to the finite difference and finite volume methods. Moreover the scheme is developed using the conservative formulation and do not require change in the source term for treating the degenerate hyperbolic nature of shallow water magnetohydrodynamics system due to divergence constraint. The spatial and temporal derivatives have been obtained by incorporating $4^{th}$-order Taylor expansion and the projection method is used to handle the divergence constraint. The accuracy and robustness of the extended method is tested by performing a benchmark numerical test taken from the literature. Numerical experiment revealed the accuracy and computational efficiency of the scheme.2019-10-31T11:26:52+00:00Copyright (c) 2019 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3527Some Structural Properties of Fully UP-semigroups2019-11-06T09:13:10+00:00Dianne Panoy Gomisongdianne.gomisong@g.msuiit.edu.phRowena Timonera Islarowena.isla@g.msuiit.edu.phThis paper investigates a new class of algebra related to UP-algebras and semigroups called fully UP-semigroups (or $f$-UP-semigroups). It establishes some structural properties of $f$-UP-semigroups. It also introduces and examines $f$-UP-fields, $f$-UP-domains, $f$-UP-ideals, and quotient $f$-UP-semigroups. Moreover, it investigates the relationship between an $f$-UP-field and an $f$-UP-domain.2019-10-31T11:26:52+00:00Copyright (c) 2019 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3526The Dual B-Algebra2019-11-06T09:13:10+00:00Katrina Eusebio Bellezakat.belleza@gmail.comJocelyn P. Vilelakat.belleza@gmail.com<p><br />This paper introduces and characterizes the notion of a dual B-algebra. Moreover, this study investigates the relationship between a dual B-algebra a and BCK-algebra. Commutativity of a dual B-algebra is also discussed and its relation to some algebras such as CI-algebra and dual BCI-algebra is examined.</p>2019-10-31T11:26:52+00:00Copyright (c) 2019 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3547Simultaneous Approximation of New Sequence of Integral Type Operators with Parameter δ_02019-11-06T09:13:10+00:00Ali Jassim Mohammadalijasmoh@gmail.comHadeel Omar Muslimhadeel.oalkh@gmail.com<p>In this paper, we define a new sequence of linear positive operators of integral type to approximate functions in the space,. First, we study the basic convergence theorem in simultaneous approximation and then study Voronovskaja-type asymptotic formula. Then, we estimate an error occurs by this approximation in the terms of the modulus of continuity. Next, we give numerical examples to approximate three test functions in the space by the sequence. Finally, we compare the results with the classical sequence of Szãsz operators on the interval . It turns out that, the sequence gives better than the results of the sequence for the two test functions using in the numerical examples.</p>2019-10-31T11:26:52+00:00Copyright (c) 2019 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3559Topologies on a Hyper Sum and Hyper Product of Two Hyper BCK-algebras2019-11-06T09:13:10+00:00Rachel Moridas Patanganrhapsodistchelar@gmail.comSergio R. Canoy, Jr.sergio.canoy@g.msuiit.edu.ph<p>Given a hyper BCK-algebra (H, ∗, 0), each of the families BL(H) = {LH(A) : ∅ 6=<br />A ⊆ H} and BR(H) = {RH(A) : ∅ 6= A ⊆ H} forms a base for some topology on H, where LH(A) = {x ∈ H : x a, ∀a ∈ A} and RH(A) = {x ∈ H : a x, ∀a ∈ A} for any subset A of H. In this paper, we determine the bases of the topologies induced by the hyper sum H1 ⊕ H2 and hyper product H1 × H2, where (H1, ∗1, 01) and (H2, ∗2, 02) are two hyper BCK-algebras.</p>2019-10-31T11:26:52+00:00Copyright (c) 2019 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3532Mathematical Analysis of an Immune-structured Chikungunya Transmission Model2019-11-06T09:13:10+00:00Kambire Famanefamane.kambire@yahoo.frGouba Eliséeelgouba@gmail.comTao Sadousadoutao@yahoo.frBlaise Somefamane.kambire@yahoo.fr<p>In this paper, we have formulated a new deterministic model to describe the dynamics of the spread of chikunguya between humans and mosquitoes populations. This model takes into account the variation in mortality of humans and mosquitoes due to other causes than chikungunya disease, the decay of acquired immunity and the immune sytem boosting. From the analysis, it appears that the model is well posed from the mathematical and epidemiological standpoint. The existence of a single disease free equilibrium has been proved. An explicit formula, depending on the parameters of the model, has been obtained for the basic reproduction number R0 which is used in epidemiology. The local asymptotic stability of the disease free equilibrium has been proved. The numerical simulation of the model has confirmed the local asymptotic stability of the disease<br />free equilbrium and the existence of endmic equilibrium. The varying effects of the immunity parameters has been analyzed numerically in order to provide better conditions for reducing the transmission of the disease.<br /><br /></p>2019-10-31T11:26:53+00:00Copyright (c) 2019 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3502Functions on $n$-generalized Topological Spaces2019-11-06T09:13:10+00:00Cherry Mae Rivas Balingitcmrbalingit@gmail.comJulius Benitezjulius.benitez@g.msuiit.edu.phAn $n$-generalized topological ($n$-GT) space is a pair $(X,\mathscr{G})$ of a nonempty set $X$ and a collection $\mathscr{G}$ of $n$ $(n\in\mathbb{N})$ distinct generalized topologies (in the sense of A. Cs\'{a}sz\'{a}r [1]) on the set $X$. In this paper, we look into $\mathscr{G}$-continuous maps, $\mathscr{G}$-open and $\mathscr{G}$-closed maps, as well as $\mathscr{G}$-homoemorphisms in terms of $n$-GT spaces and establish some of their basic properties and relationships. Moreover, these notions are also examined with respect to the component generalized topologies of the underlying spaces by defining and characterizing pairwise versions of the said types of mappings.2019-10-31T11:26:53+00:00Copyright (c) 2019 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3564Identification of Parameters of Richards Equation Using Modified Hybrid Grey Wolf Optimizer-Genetic Algorithm (HmGWOGA)2019-11-06T09:13:10+00:00Wenddabo Olivier Sawadogowenddabo81@gmail.comPengdwende Ousseni Fabrice Ouedraogowenddabo81@gmail.comOusseni Sowenddabo81@gmail.comGenevieve Barrowenddabo81@gmail.comBlaise Somewenddabo81@gmail.com<p>In this paper, it is a question of identification of the parameters in the equation of<br />Richards modelling the flow in unsaturated porous medium. The mixed formulation pressure head-moisture content has been used. The direct problem was solved using Multiquadratic Radial Basis Function ( RBF-MQ ) method which is a meshless method. The Newton-Raphson’s method was used to linearize the equation. The function cost used is built by using the infiltration. The optimization method used is a meta-heuristic called Modified hybrid Grey Wolf Optimizer -Genetic Algorithm (HmGWOGA). A test on experimental data has been carried. We compared the results with genetic algorithms. The results showed that this new method was better than genetic algorithms.</p>2019-10-31T11:26:53+00:00Copyright (c) 2019 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3548Topology on a BE-algebra Induced by Right Application of BE-ordering2019-11-06T09:13:11+00:00Jimboy Ruben Albaracinjimboyalbaracin7@gmail.comJocelyn P. Vilelajimboyalbaracin7@gmail.com<p>This study deals with the topology generated by the family of subsets determined<br />by the right application of BE-ordering of a BE-algebra and investigates some of its properties. Characterizations of some elementary topological concepts as well as the concepts of continuous, open, and closed maps associated with this topological space are obtained.</p>2019-10-31T11:26:53+00:00Copyright (c) 2019 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3577Existence of Optimal Control for a Nonlinear Partial Differential Equation of Hyperbolic Type2019-11-06T09:13:11+00:00Dieudonne Ampinidieudonne.ampini@gmail.comMabonzo Vital Delmasvitalm28@gmail.com<span>In this paper, we prove the existence of an optimal control for a nonlinear hyperbolic problem, examined in [3]. An estimation is used which makes it possible to extract from a minimizable sequence of controls and from the sequence of corresponding solutions weakly convergent sub sequences. To prove the passage to the limit in a true equality for every element of the minimizable sequence, Lebesgue’s theorem on the passage to the limit under the integral sign and the theorem of immersion have been used.</span>2019-10-31T11:26:53+00:00Copyright (c) 2019 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3567On Embedding Theorems in Grand Grand Nikolskii-Morrey Spaces2019-11-06T09:13:11+00:00Alik Malik Najafovaliknajafov@gmail.comAzizgul M. Gasimovaaliknajafov@gmail.comIn the paper introduced a grand grand Nikolskii-Morrey spaces. Some differential and differential-difference properties functions from this spaces are obtained with help of integral representation.2019-10-31T11:26:53+00:00Copyright (c) 2019 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3519Density and Risk Function of the Circular Kernel Study2019-11-06T09:13:11+00:00Didier Alain Njamen Njomendidiernjamen1@gmail.comHubert Clovis Yayebgadidiernjamen1@gmail.comThis article is based on the works of [1], [2] and [3] on the estimation of the survival function and the function of risk in independent cases and identically distributed with and without censorship from which we established the bias and variance of the density of the circular kernel. In addition, we determined the optimal window b ∗ n of this estimator after having first established the mean square error (MSE) and mean integrated squared error (MISE) which are necessary conditions for obtaining the optimal window. Finally, we have established the asymptotic expression of the bias of the risk function of the circular kernel estimator2019-10-31T11:26:53+00:00Copyright (c) 2019 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3554Total Partial Domination in Graphs Under Some Binary Operations2019-11-06T09:13:11+00:00Roselainie Dimasindil Macapodimacapodiroselainie@gmail.comRowena Islarowena.isla@g.msuiit.edu.ph<p>Let G = (V (G), E(G)) be a simple graph and let α ∈ (0, 1]. A set S ⊆ V (G) is<br />an α-partial dominating set in G if |N[S]| ≥ α |V (G)|. The smallest cardinality of an α-partial<br />dominating set in G is called the α-partial domination number of G, denoted by ∂α(G). An α-<br />partial dominating set S ⊆ V (G) is a total α-partial dominating set in G if every vertex in S is<br />adjacent to some vertex in S. The total α-partial domination number of G, denoted by ∂T α(G), is<br />the smallest cardinality of a total α-partial dominating set in G. In this paper, we characterize the<br />total partial dominating sets in the join, corona, lexicographic and Cartesian products of graphs<br />and determine the exact values or sharp bounds of the corresponding total partial domination<br />number of these graphs.</p>2019-10-31T11:26:53+00:00Copyright (c) 2019 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3544A note on \On -Open Sets and Ideals in Topological Spaces"[European Journal of Pure and Applied Mathematics 6 (2019) 893{903]2019-11-06T09:13:11+00:00Mona Hosnymonahosny@edu.asu.edu.eg<p>This note shows that the main results of the paper [4] [European Journal of Pure and<br />Applied Mathematics 6 (2019) 893{903] are incorrect in general, by giving a counter<br />examples. The correction form of the incorrect results in [4] is presented.</p>2019-10-31T11:26:53+00:00Copyright (c) 2019 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3551Corrigendum [On -Open Sets and Ideals in Topological Spaces, European Journal of Pure and Applied Mathematics, Vol. 12, No. 3, 2019, 893-905]2019-11-06T09:13:11+00:00Michael Jr. Patula Baldadombaldadojr@yahoo.comRoberto N. Paduambaldadojr@yahoo.comGlaisa T. Catalanmbaldadojr@yahoo.comCorrigendum2019-10-31T11:26:53+00:00Copyright (c) 2019 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3529Generalized Quasilinearization Using Coupled Lower and Upper Solutions for Periodic Boundary Value Problem of an Integro Differential Equation2019-11-06T09:13:11+00:00Chaduvula Venkata Sreedharchaduvulasreedhar@gmail.comJ. Vasundhara Devichaduvulasreedhar@gmail.com<p>In this paper we rst develop the method of generalized quasilinearization for initial<br />value problem of an integro dierential equation and then use it to develop quasilinearization for the periodic boundary value problem of the integro dierential equation by using the coupled lower and upper solutions of Type-I.</p>2019-10-31T11:26:53+00:00Copyright (c) 2019 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3583Hankel Transform of the Second Form (q,r)-Dowling Numbers2019-11-06T09:13:11+00:00Roberto Bagsarsa Corcinorcorcino@yahoo.comJay Ontolanontolanjay@gmail.comGladys Jane Ramagjsrama@yahoo.com<div class="page" title="Page 1"><div class="layoutArea"><div class="column"><p><span>In this paper, using the rational generating for the second form of the </span><span>q</span><span>-analogue of </span><span>r</span><span>-Whitney numbers of the second kind, certain divisibility property for this form is established. Moreover, the Hankel transform for the second form of the </span><span>q</span><span>-analogue of </span><span>r</span><span>-Dowling numbers is derived. </span></p></div></div></div>2019-10-31T11:26:53+00:00Copyright (c) 2019 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3573Sensitivity of Fuzzy Nonautonomous Dynamical Systems2019-11-06T09:13:11+00:00Yaoyao Lanyylanmath@163.com<span>This paper is devoted to a study of relations between two forms of sensitivity of nonautonomous dynamical system and its induced fuzzy systems. More specially, we study strong sensitivity and mean sensitivity in an original nonautonomous system and its connections with the same ones in its induced system, including set-valued system and fuzzified system.</span>2019-10-31T11:26:53+00:00Copyright (c) 2019 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3565Mass Formula for Self-Dual Codes over Galois Rings GR(p3, r)2019-11-08T08:24:44+00:00Trilbe Lizann Espina Vasqueztrilbelizann.vasquez@g.msuiit.edu.phGaudencio Jr. Cempron Petalcoringaudencio.petalcorin@g.msuiit.edu.ph<p><span>Let p be an odd prime and r a positive integer. Let GR(p3, r) be the Galois ring of characteristic p3 and cardinality p3r. In this paper, we investigate the self-dual codes over GR(p3, r) and give a method to construct self-dual codes over this ring. We establish a mass formula for self-dual codes over GR(p3, r) and classify self-dual codes over GR(p3, 2) of length 4 for p = 3, 5.</span></p>2019-10-31T11:26:53+00:00Copyright (c) 2019 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3555Choosing the Best Cowpea Varieties Appropriate for the Central-Eastern Region of Burkina Faso using PROMETHEE Methods2019-11-06T09:13:11+00:00Stéphane Aimé Metchebon Takougangmetchebon@gmail.comNaguiesmongho Christian Nanachrist25nana@yahoo.frTeyoure Benoît Joseph Batienobatieno52@gmail.comBlaise Soméblaisesomeouaga1@gmail.comDecisions on the choice of varieties to be planted in a region are delicate because they can have positive or negative long-term consequences on the economic, environmental and nutritional level of a country. For this reason, a multi-criteria decision making (MCDM) based approach is proposed to conduct this choosing process. The proposed approach first of all makes it possible to identify alternatives, i.e. agricultural varieties, criteria with their weighting and evaluation process, in interaction with the stakeholders in the production-processing-consumption food chain. Afterward, PROMETHEE method (I and II) is used to aggregate the preference informations stemming from the structuring process and make it possible to choose the best agricultural varieties suitable for a given region. An Application for the selection of suitable cowpea varieties for the Central-Eastern region of Burkina Faso is made to demonstrate the implementation and effectiveness of our approach. As a result, the varieties KVx442-3-25SH (Komcallé) and Yiis-Yandé emerged as the best choices of suitable cowpea varieties for the Central-Eastern region of Burkina Faso2019-10-31T11:26:53+00:00Copyright (c) 2019 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3562The Ranking of Districts in Ouagadougou by the Risk of Flood and Runoff Using the PROMETHEE2019-11-06T09:13:11+00:00Jacob Wendpanga Yougbaréjwyougby@yahoo.comPROMETHEE methods are used for analyzing the risk of flood runoff in urban areas of Ouagadougou in Burkina Faso. 12 criteria are considered to calculate preference indices of the districts. We generated, on one hand, weights associated to these criteria taking into account hypotheses relatively to the importance or to the impact of each criterion evaluating the risk of flood runoff and on the other hand, we used the PROMETHEE methods to analyze this decision’s problem with its diverse criteria. The PROMETHEE I and PROMETHEE II are used ranking the districts in relation with the degree of risk of flood runoff. This ranking is permitted by the calculated preference indices. Our aim is, on one hand showing to the potential decision-maker the importance of such a multi-criteria analysis and on the other hand, of verifying the coherence of the hypotheses with the obtained weights.2019-10-31T11:26:53+00:00Copyright (c) 2019 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3574Rank-k perturbation of Hamiltonian Systems with Periodic Coefficients and Applications2019-11-06T09:13:11+00:00Dosso Mouhamadoumouhamadou.dosso@univ-fhb.edu.ciTraore G. Y. Arounamouhamadou.dosso@univ-fhb.edu.ciJean-Claude Koua Broumouhamadou.dosso@univ-fhb.edu.ci<p>Jordan canonical forms of a rank-k perturbation of symplectic matrices and the fundamental solutions of Hamiltonian systems are presented on the basis of work done by C. Mehl et, al.. Small rank-k perturbations of Mathieu systems are analyzed. More precisely, it is shown that the rank-k perturbations of coupled or non-coupled double pendulums and the motion of an ion through a quadrupole analyzer slightly perturb the behavior of their spectra and their stabilities.</p><p> </p>2019-10-31T11:26:53+00:00Copyright (c) 2019 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3591On the Paper "On hyperideals of ordered semihypergroups" by ZeGu in Ital. J. Pure Appl. Math.2019-11-06T09:13:45+00:00Niovi Kehayopulunkehayop@math.uoa.grGiving the proper citations, it is shown that, except of Lemma 2.4 and Theorem 2.6, almost all the results of the paper in the title have been previously published for ordered hypersemigroups in Eur. J. Pure Appl. Math. and they are not new. There are also two results obtained from ordered semigroups just putting a ``$\circ$" instead of ``$\cdot$" (that isn't a correct way to work), without reference to ordered semigroups on which the results on ordered hypersemigroups are based. One of them can be obtained as corollary to a theorem in Eur. J. Pure Appl. Math. as well, and it is not new.2019-10-31T11:26:54+00:00Copyright (c) 2019 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3485Forcing Subsets for γc-sets and γt-sets in the Lexicographic Product of Graphs2019-11-06T09:13:11+00:00Cris Laquibla Armadacris.armada@g.msuiit.edu.phSergio, Jr. R. Canoyserge_canoy@yahoo.comCarmelito E. Golito_go@yahoo.com<p>In this paper, the connected dominating sets and total dominating sets in the lexicographic product of two graphs are characterized. Further, the connected domination, total domination, forcing connected domination and forcing total domination numbers of these graphs are determined.</p>2019-10-31T11:26:54+00:00Copyright (c) 2019 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3545On Weak Projectivity in Arithmetic2019-11-07T09:54:42+00:00Mark Burginmburgin@math.ucla.edu<p>In the 19<sup>th</sup> century, non-Euclidean geometries were discovered and studied. In the 20<sup>th</sup> century, non-Diophantine arithmetics were discovered and studied. Construction of non-Diophantine arithmetics is based on very general mathematical structures, which are called abstract prearithmetics, as well as on the projectivity relation between abstract prearithmetics. In a similar way, as set theory gives a foundation for mathematics, the theory of abstract prearithmetics provides<strong> </strong>foundations for the theory<strong> </strong>of the Diophantine and non-Diophantine arithmetics. In this paper, we study relations between operations in abstract prearithmetics exploring how properties of operations in one prearithmetic impact properties of operations in another prearithmetic. In addition, we explore how to build new prearithmetics from existing ones.</p>2019-11-01T17:31:05+00:00Copyright (c) 2019 European Journal of Pure and Applied Mathematicshttps://ejpam.com/index.php/ejpam/article/view/3435Curvature Inequalities for Submanifolds of S-space From2019-11-06T09:13:11+00:00Najma Abdul Rehmannajma_ar@hotmail.com<p>In this paper we establish new results of squared mean curvature and Ricci curvature for the sub manifolds of S-space from that is the generalization of complex and contact structures. Obtained results are discussed for invariant, anti invariant and CR sub manifolds of S-space from.</p>2019-11-06T06:56:54+00:00Copyright (c) 2019 European Journal of Pure and Applied Mathematics