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ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

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Existence and Uniqueness of Periodic Solutions for a Kind of Third-order Functional Differential Equation with a Time-delay

Author(s):

A. M. Mahmoud

Department of Mathematics, Faculty of Science,
New Valley Branch,
Assiut University. New Valley,
El-Khargah 72111, Egypt

math_ayman27@yahoo.com

Abstract:

In this paper, by using the Mawhin coincidence degree theory and analysis techniques, we establish new results on the existence and uniqueness of T-periodic solutions for a kind of third-order functional differential equation (FDE) with a time-delay. The obtained results are new and complement the related results of third-order (FDE) with a time-delay that have appeared in the literature. In the last section, we give an example to illustrate our main results of periodic solutions.

Keywords

References:

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