Existence of Periodic Solution for a Kind of Third-Order Generalized Neutral Functional Differential Equation with Variable Parameter

Existence of Periodic Solution for a Kind of Third-Order Generalized Neutral Functional Differential Equation with Variable Parameter

Year:    2018

Author:    A.M. Mahmoud, E.S. Farghaly

Annals of Applied Mathematics, Vol. 34 (2018), Iss. 3 : pp. 285–301

Abstract

In this paper, we investigate a third-order generalized neutral functional differential equation with variable parameter. Based on Mawhin’s coincidence degree theory and some analysis skills, we obtain sufficient conditions for the existence of periodic solution for the equation. An example is also provided.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2018-AAM-20578

Annals of Applied Mathematics, Vol. 34 (2018), Iss. 3 : pp. 285–301

Published online:    2018-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    17

Keywords:    existence of periodic solution third-order neutral functional differential equation variable parameter Mawhin’s continuation theorem coincidence degree.

Author Details

A.M. Mahmoud

E.S. Farghaly