Stability Results in Terms of Two Measures for Set Differential Equations Involving Causal Operators

Authors

  • Appala Naidu Chadaram GVP-Prof.V. Lakshmikantham Inistitute for Advanced Studies, Department of Mathematics, GVP College of Engineering (Autonomous) Madhurawada, Visakhapatnam,
  • D.B. Dhaigude Professor of Mathematics Dr. Baba Saheb Ambedkar Marathwada University
  • Vasundhara Devi Jonnalagadda professor , Department of Mathematics, GVP College of Engineering(A), Associate Director GVP Prof. V. Lakshmikantham Inistitute for Advanced Studies,

Keywords:

Hukuhara difference, (h0, h)-equi stable, h)-uniformly stable, h)-equi attractive, h)-equi asymptotically stable, h)-uniformly asymptotically stable

Abstract

Differential equations involving causal operators is an area of research that unifies many types of mathematical models such as ordinary differential equations, integro differential equations, delay differential equations and so on. Also, Stability in terms of two measures is another concept that unifies various types of stability. It has been observed that set differential equations generalizes ordinary differential equations (ODEs) and the study of ODEs can be done in semilinear metric space. In this paper, combining all the fore mentioned notions an attempt is made to obtain stability results in terms of two measures for set differential equations involving causal operators.

Author Biographies

  • Appala Naidu Chadaram, GVP-Prof.V. Lakshmikantham Inistitute for Advanced Studies, Department of Mathematics, GVP College of Engineering (Autonomous) Madhurawada, Visakhapatnam,

    Department of Mathematics

    Assistant Professor

  • D.B. Dhaigude, Professor of Mathematics Dr. Baba Saheb Ambedkar Marathwada University

    Ameritus Professor,

    Department of Mathematics

  • Vasundhara Devi Jonnalagadda, professor , Department of Mathematics, GVP College of Engineering(A), Associate Director GVP Prof. V. Lakshmikantham Inistitute for Advanced Studies,

    Professor

    Department of Mathematics

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Published

2017-07-11

Issue

Vol. 10 No. 4: (July 2017)

Section

Differential Equations

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How to Cite

Stability Results in Terms of Two Measures for Set Differential Equations Involving Causal Operators. (2017). European Journal of Pure and Applied Mathematics, 10(4), 645-654. https://www.ejpam.com/index.php/ejpam/article/view/3070