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<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

Data publikacji: 18 lis 2022

Zakres stron: 75 - 89

Otrzymano: 19 mar 2021

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

Słowa kluczowe
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

Data publikacji: 18 lis 2022

Zakres stron: 75 - 89

Otrzymano: 19 mar 2021

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

Słowa kluczoweKrasnoselskii-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.

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