1LAMAHIS Lab, Faculty of Sciences, Department of Mathematics, Univetsity Skikda, Algeria 2Faculty of Sciences and Technology, Department of Mathematics and Informatics, Univ Souk Ahras, Algeria 3Applied Mathematics Lab, Faculty of Sciences, Department of Mathematics, Univ Annaba, Algeria
Acta mathematica Universitatis Comenianae, Tome 87 (2018) no. 2, pp. 223-235
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Ahlème Bouakkaz; Abdelouaheb Ardjouni; Ahcene Djoudi; Ahlème Bouakkaz; Abdelouaheb Ardjouni; Ahcene Djoudi. Periodic solutions for a second order nonlinear functional differential equation with iterative terms by Schauder's fixed point theorem. Acta mathematica Universitatis Comenianae, Tome 87 (2018) no. 2, pp. 223-235. http://geodesic.mathdoc.fr/item/AMUC_2018_87_2_a6/
@article{AMUC_2018_87_2_a6,
author = {Ahl\`eme Bouakkaz and Abdelouaheb Ardjouni and Ahcene Djoudi and Ahl\`eme Bouakkaz and Abdelouaheb Ardjouni and Ahcene Djoudi},
title = { Periodic solutions for a second order nonlinear functional differential equation with iterative terms by {Schauder's} fixed point theorem},
journal = {Acta mathematica Universitatis Comenianae},
pages = {223--235},
year = {2018},
volume = {87},
number = {2},
url = {http://geodesic.mathdoc.fr/item/AMUC_2018_87_2_a6/}
}
TY - JOUR
AU - Ahlème Bouakkaz
AU - Abdelouaheb Ardjouni
AU - Ahcene Djoudi
AU - Ahlème Bouakkaz
AU - Abdelouaheb Ardjouni
AU - Ahcene Djoudi
TI - Periodic solutions for a second order nonlinear functional differential equation with iterative terms by Schauder's fixed point theorem
JO - Acta mathematica Universitatis Comenianae
PY - 2018
SP - 223
EP - 235
VL - 87
IS - 2
UR - http://geodesic.mathdoc.fr/item/AMUC_2018_87_2_a6/
ID - AMUC_2018_87_2_a6
ER -
%0 Journal Article
%A Ahlème Bouakkaz
%A Abdelouaheb Ardjouni
%A Ahcene Djoudi
%A Ahlème Bouakkaz
%A Abdelouaheb Ardjouni
%A Ahcene Djoudi
%T Periodic solutions for a second order nonlinear functional differential equation with iterative terms by Schauder's fixed point theorem
%J Acta mathematica Universitatis Comenianae
%D 2018
%P 223-235
%V 87
%N 2
%U http://geodesic.mathdoc.fr/item/AMUC_2018_87_2_a6/
%F AMUC_2018_87_2_a6
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.
