1Laboratory of Applied Mathematics and History and Didactics of Mathematics (LAMAHIS), 20 August 1955 University of Skikda, Algeria 2Laboratory of Applied Mathematics and History and Didactics of Mathematics (LAMAHIS), 20 August 1955 University of Skikda, Algeria
Acta mathematica Universitatis Comenianae, Tome 92 (2023) no. 1, pp. 9-22
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Rabah Khemis; Ahlème Bouakkaz; Safa Chouaf; Rabah Khemis; Ahlème Bouakkaz; Safa Chouaf. On the existence of periodic solutions of a second order iterative differential equation. Acta mathematica Universitatis Comenianae, Tome 92 (2023) no. 1, pp. 9-22. http://geodesic.mathdoc.fr/item/AMUC_2023_92_1_a1/
@article{AMUC_2023_92_1_a1,
author = {Rabah Khemis and Ahl\`eme Bouakkaz and Safa Chouaf and Rabah Khemis and Ahl\`eme Bouakkaz and Safa Chouaf},
title = { On the existence of periodic solutions of a second order iterative differential equation},
journal = {Acta mathematica Universitatis Comenianae},
pages = {9--22},
year = {2023},
volume = {92},
number = {1},
url = {http://geodesic.mathdoc.fr/item/AMUC_2023_92_1_a1/}
}
TY - JOUR
AU - Rabah Khemis
AU - Ahlème Bouakkaz
AU - Safa Chouaf
AU - Rabah Khemis
AU - Ahlème Bouakkaz
AU - Safa Chouaf
TI - On the existence of periodic solutions of a second order iterative differential equation
JO - Acta mathematica Universitatis Comenianae
PY - 2023
SP - 9
EP - 22
VL - 92
IS - 1
UR - http://geodesic.mathdoc.fr/item/AMUC_2023_92_1_a1/
ID - AMUC_2023_92_1_a1
ER -
%0 Journal Article
%A Rabah Khemis
%A Ahlème Bouakkaz
%A Safa Chouaf
%A Rabah Khemis
%A Ahlème Bouakkaz
%A Safa Chouaf
%T On the existence of periodic solutions of a second order iterative differential equation
%J Acta mathematica Universitatis Comenianae
%D 2023
%P 9-22
%V 92
%N 1
%U http://geodesic.mathdoc.fr/item/AMUC_2023_92_1_a1/
%F AMUC_2023_92_1_a1
In this work, we consider a class of second order iterative differential equations. Using Schauder's fixed point theorem and the Green's functions method, the existence of periodic solutions is proved after establishing theequivalence of our problem with a certain integral equation. Finally, we end this article with a simple conclusion recapitulating the guiding idea of our approach. Obtained findings complement some previous publications in the literature.
