A Novel Implementation of Krasnoselskii’s Fixed-Point Theorem to a Class of Nonlinear Neutral Differential Equations

Author:

Rezaiguia Ali12,Moumen Abdelkader1ORCID,Mennouni Abdelaziz3ORCID,Alshammari Mohammad1,Hassan Taher S.14ORCID

Affiliation:

1. Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il 55425, Saudi Arabia

2. Laboratory of Computer Science and Mathematics, Mouhamed Cherif Messadia University, Souk Ahras, Algeria

3. Department of Mathematics, LTM, University of Batna 2, Mostefa Ben Boulaïd, Fesdis, Batna 05078, Algeria

4. Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

Abstract

In this work, we examine a class of nonlinear neutral differential equations. Krasnoselskii’s fixed-point theorem is used to provide sufficient conditions for the existence of positive periodic solutions to this type of problem.

Funder

University of Hail

Publisher

Hindawi Limited

Subject

Analysis

Reference16 articles.

1. Finite time blow-up of solutions for a nonlinear system of fractional differential equations;A. Mennouni;Electronic Journal of Differential Equations,2017

2. Existence of positive periodic solutions for fourth-order nonlinear neutral differential equations with variable delay

3. Existence of positive periodic solutions for a nonlinear neutral differential equation with variable delay;A. Ardjouni;Applied Mathematics E-Notes,2012

4. Existence of positive periodic solutions for two types of second-order nonlinear neutral differential equations with variable delay

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