Turkish Journal of Mathematics
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.
DOI
10.3906/mat-2004-52
Keywords
Positive periodic solutions, nonlinear differential equation, fixed point theorem, Green's function
First Page
1412
Last Page
1426
Recommended Citation
BOUAKKAZ, A, & KHEMIS, R (2020). Positive periodic solutions for a class of second-order differential equations with state-dependent delays. Turkish Journal of Mathematics 44 (4): 1412-1426. https://doi.org/10.3906/mat-2004-52