On the Existence of Periodic Solutions to Certain Non-linear Differential Equations of Third Order | [Proceedings of the Pakistan Academy of Sciences: A. Physical and Computational Sciences • 2017]

Author(s):

1. Cemil Tunç: Department of Mathematics, Faculty of Sciences, Yuzuncu Yil University,Kampüs, 65080, Van,Turkey

2. Sultan Erdur: Department of Mathematics, Faculty of Sciences, Yuzuncu Yil University,Kampüs, Van,Turkey

Abstract:

We investigated the existence of periodic solutions to a kind of non-linear differential equations of third order. We prove two new theorems on the existence of periodic solutions to the equation considered. The technique of proof involves the Leray-Schauder degree theory. The results obtained include and improve some results found in the literature

Page(s): 207-218

DOI: DOI not available

Published: Journal: Proceedings of the Pakistan Academy of Sciences: A. Physical and Computational Sciences, Volume: 54, Issue: 2, Year: 2017

Keywords:

third order , Nonlinear differential equation , existence of periodic solutions

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