Existence of Nonoscillatory Solutions of Higher Order Nonlinear Neutral Differential Equations

Authors

  • Bengu Cina Zara Veysel Dursun School of Applied Science, Cumhuriyet University, Sivas, Turkey https://orcid.org/0000-0003-1294-0983
  • Tuncay Candan
  • M. Tamer Senel Department of Mathematics, Faculty of Sciences, Erciyes University, Kayseri, Turkey https://orcid.org/0000-0003-1915-5697
  • Aiman Mukheimer Department of Mathematics and Sciences, Prince Sultan University, Riyadh, 11586, Saudi Arabia

DOI:

https://doi.org/10.29020/nybg.ejpam.v16i2.4708

Keywords:

Fixed point, Higher-order, Neutral differential equation, Nonoscillatory solution

Abstract

In this paper, an $n$-th order neutral nonlinear differential equation is studied. By using the Banach contraction principle, some sufficient conditions are established for the existence of nonoscillatory solutions of nonlinear $n$-th order neutral differential equation. An example is included to illustrate the results obtained.

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Published

2023-04-30

Issue

Vol. 16 No. 2: (April 2023)

Section

Nonlinear Analysis

License

Copyright (c) 2023 European Journal of Pure and Applied Mathematics

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How to Cite

Existence of Nonoscillatory Solutions of Higher Order Nonlinear Neutral Differential Equations. (2023). European Journal of Pure and Applied Mathematics, 16(2), 713-723. https://doi.org/10.29020/nybg.ejpam.v16i2.4708