<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

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

Department of Mathematics and Informatics

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

This paper studies the existence of periodic solutions of a third order iterative differential equation. The main tool used here is Krasnoselskii-Burton’s...

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

Published Online: Nov 18, 2022

Page range: 75 - 89

Received: Mar 19, 2021

DOI: https://doi.org/10.2478/ausm-2022-0005

Keywords
Krasnoselskii-Burton’s fixed point, large contraction, iterative differential equations, periodic solution, Green’s function

© 2022 Abderrahim Guerfi et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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

Published Online: Nov 18, 2022

Page range: 75 - 89

Received: Mar 19, 2021

DOI: https://doi.org/10.2478/ausm-2022-0005

KeywordsKrasnoselskii-Burton’s fixed point, large contraction, iterative differential equations, periodic solution, Green’s function

© 2022 Abderrahim Guerfi et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Krasnoselskii-Burton’s fixed point, large contraction, iterative differential equations, periodic solution, Green’s function