Periodic solutions for a second order nonlinear functional differential equation with iterative terms by Schauder's fixed point theorem
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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.
for the purpose of proving the existence of periodic solutions.
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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.
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