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

On the Existence of a limiting regime in the sense of Demidovic for a certain third order nonlinear differential equation

Author(s):

Anthony Uyi Afuwape

Departmento de Matematicas,
Universidad de Antioquia,
Calle 67, No. 53-108,
Medellin AA 1226,
Colombia

aafuwape@yahoo.co.uk

Mathew Omeike

Department of Mathematics,
University of Agriculture,
Abeokuta, Nigeria.

moomeike@yahoo.com

Abstract:

In this paper we prove the existence of a limiting regime in the sense of Demidovic for certain third order nonlinear differential equations. We also prove that such a solution is periodic ( or almost periodic) whenever the forcing term is periodic ( or almost periodic). The generalized Theorems of Demidovic are used in the proofs of our results. The results generalize earlier results in the literature.

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