Periodic solutions for a second order nonlinear functional differential equation with iterative terms by Schauder's fixed point theorem

Main Article Content

Ahlème Bouakkaz Abdelouaheb Ardjouni Ahcene Djoudi

Abstract

In this work, the technique of the fixed point of Schauder was applied on the second order nonlinear functional differential equation with an iterative terms   \frac{d^2}{d t^2}x(t)+p(t)\frac{d}{d t}x(t)+q (t)x(t)=\frac{d}{d t}t( t,x(t),x^{[2]}(t), . . . ,x^{[n]}(t))+f(t,x(t),x^{[2]}(t), . . .  ,x^{[n]}(t))
for the purpose of proving the existence of periodic solutions.

Article Details

How to Cite
Bouakkaz, A., Ardjouni, A., & Djoudi, A. (2018). Periodic solutions for a second order nonlinear functional differential equation with iterative terms by Schauder's fixed point theorem. Acta Mathematica Universitatis Comenianae, 87(2), 223-235. Retrieved from http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/amuc/article/view/671/621
Section
Articles