Periodic solutions of a class of second order neutral differential equations with multiple different delays
Ural mathematical journal, Tome 8 (2022) no. 2, pp. 71-80
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The present work mainly probes into the existence and uniqueness of periodic solutions for a class of second-order neutral differential equations with multiple delays. Our approach is based on using Banach and Krasnoselskii's fixed point theorems as well as the Green's function method. Besides, two examples are exhibited to validate the effectiveness of our findings which complement and extend some relevant ones in the literature.
Keywords:
fixed point theorem, Green's function, neutral differential equation, periodic solutions.
@article{UMJ_2022_8_2_a5,
author = {Rabah Khemis and Abdelouaheb Ardjouni and Ahl\'eme Bouakkaz},
title = {Periodic solutions of a class of second order neutral differential equations with multiple different delays},
journal = {Ural mathematical journal},
pages = {71--80},
publisher = {mathdoc},
volume = {8},
number = {2},
year = {2022},
language = {en},
url = {http://geodesic.mathdoc.fr/item/UMJ_2022_8_2_a5/}
}
TY - JOUR AU - Rabah Khemis AU - Abdelouaheb Ardjouni AU - Ahléme Bouakkaz TI - Periodic solutions of a class of second order neutral differential equations with multiple different delays JO - Ural mathematical journal PY - 2022 SP - 71 EP - 80 VL - 8 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/UMJ_2022_8_2_a5/ LA - en ID - UMJ_2022_8_2_a5 ER -
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Rabah Khemis; Abdelouaheb Ardjouni; Ahléme Bouakkaz. Periodic solutions of a class of second order neutral differential equations with multiple different delays. Ural mathematical journal, Tome 8 (2022) no. 2, pp. 71-80. http://geodesic.mathdoc.fr/item/UMJ_2022_8_2_a5/