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New results on periodic solutions for a nonlinear fourth-order iterative differential equation

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Title: New results on periodic solutions for a nonlinear fourth-order iterative differential equation

Authors: Rabah Khemis, Ahl`eme Bouakkaz

Journal: Journal of Prime Research in Mathematics

HEC Recognition History
Category From To
Y 2023-07-01 2024-09-30
Y 2022-07-01 2023-06-30
Y 2021-07-01 2022-06-30
Y 2020-07-01 2021-06-30

Publisher: Abdus Salam School of Mathematical Sciences, GC University

Country: Pakistan

Year: 2022

Volume: 18

Issue: 2

Language: English

Keywords: periodic solutionsnonlinear fourth-order delay differential equationfixed point theoryGreen’s functions

Categories
Delay Differential Equations (3) Nonlinear Equations (38) Periodic Solutions (1) Differential Equations (206) Fixed Point Theory (28)

Abstract

The key task of this paper is to investigate a nonlinear fourth-order delay differential equation. By virtue of the fixed point theory and the Green’s functions method, we establish some new results on the existence, uniqueness and continuous dependence on parameters of periodic solutions. In addition, an example is given to corroborate the validity of our main results. Up to now, no work has been carried out on this topic. So, the findings of this paper are new and complement the available works in the literature to some degree.

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