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

Authors: AHLEME BOUAKKAZ, RABAH KHEMIS

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

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