Positive periodic solutions for a class of second-order differential equations with state-dependent delays

Authors : Ahleme BOUAKKAZ, Rabah KHEMIS

Pages : 1412-1426

Doi:10.3906/mat-2004-52

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :In this paper, we consider a class of second order differential equations with iterative source term. The main results are obtained by virtue of a Krasnoselskii fixed point theorem and some useful properties of a Green`s function which allows us to prove the existence of positive periodic solutions. Finally, an example is included to illustrate the correctness of our results.
Keywords : Positive periodic solutions, nonlinear differential equation, fixed point theorem, Green`s function