Study of periodic solutions for third-order iterative differential equations via Krasnoselskii-Burton’s theorem-Reference-Cited by-同舟云学术

Study of periodic solutions for third-order iterative differential equations via Krasnoselskii-Burton’s theorem

Published:2022-11-01 Issue:1 Volume:14 Page:75-89
ISSN:2066-7752
Container-title:Acta Universitatis Sapientiae, Mathematica
language:en
Short-container-title:

Author:

Guerfi Abderrahim¹,Ardjouni Abdelouaheb²

Affiliation:

1. Applied Mathematics Lab ., Department of Mathematics , University of Annaba , Algeria

2. Department of Mathematics and Informatics , University of Souk Ahras , Algeria

Abstract

Abstract This paper studies the existence of periodic solutions of a third order iterative differential equation. The main tool used here is Krasnoselskii-Burton’s fixed point theorem dealing with a sum of two mappings, one is a large contraction and the other is compact.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.sciendo.com/pdf/10.2478/ausm-2022-0005

Reference20 articles.

1. [1] M. Adivar and Y. N. Ra oul, Existence of periodic solutions in totally nonlinear delay dynamic equations, Electron. J. Qual. Theory Differ. Equ., 2009 (1) (2009), 1–20.10.14232/ejqtde.2009.4.1

2. [2] P. Andrzej, On some iterative-differential equations III, Zeszyty Naukowe UJ. Prace Mat., 15 (1971), 125–1303.

3. [3] P. Andrzej, On some iterative-differential equations II, Zeszyty Naukowe UJ. Prace Mat., 13 (1969), 49–51.

4. [4] P. Andrzej, On some iterative-differential equation I, Zeszyty Naukowe UJ. Prace Mat., 12 (1968), 53–56.

5. [5] A. Ardjouni and A. Djoudi, Existence of positive periodic solutions for a nonlinear neutral differential equations with variable delay, Appl. Math. E-Notes, 12 (2012), 94–101.