- Turkish Journal of Mathematics
- Vol: 44 Issue: 4
- Positive periodic solutions for a class of second-order differential equations with state-dependent ...
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 : 9999-12-31
Article Type : Makaleler
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