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

On the Existence of Periodic Solutions to Nonlinear Differential Equations of Second Order

Author(s):

Cemil Tunç

Department of Mathematics,
Faculty of Arts and Sciences
Yüzüncü Yıl University,
65080, Van -Turkey

cemtunc@yahoo.com

İnan Çinar

Department of Mathematics,
Faculty of Arts and Sciences
Yüzüncü Yıl University,
65080, Van -Turkey

cemtunc@yahoo.com

Abstract:

In this paper, we are concerned with the existence of periodic solutions to second order nonlinear differential equations of the form

By using Leary-Schauder principle, we establish some new sufficient conditions which insure that this equation has a periodic solution.

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