Some conditions for the existence of 4-periodic solutions in non-homogeneous differential equations involving piecewise alternately advanced and retarded arguments
Nanosistemy: fizika, himiâ, matematika, Tome 15 (2024) no. 6, pp. 749-754
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The manuscript introduces a method to characterize 4-periodic solutions in first-order non-homogeneous differential equations involving piecewise alternately advanced and retarded argument. It systematically delineates the prerequisites for these solutions to exist and furnishes precise methodologies for their determination. Additionally, the paper includes the illustrative example, including scenarios with infinitely many solutions, to demonstrate the effectiveness of the proposed approach.
Keywords:
Piecewise alternately advanced and retarded argument, Periodic solution.
@article{NANO_2024_15_6_a2,
author = {Kuo-Shou Chiu and Fernando Cordova-Lepe},
title = {Some conditions for the existence of 4-periodic solutions in non-homogeneous differential equations involving piecewise alternately advanced and retarded arguments},
journal = {Nanosistemy: fizika, himi\^a, matematika},
pages = {749--754},
year = {2024},
volume = {15},
number = {6},
language = {en},
url = {http://geodesic.mathdoc.fr/item/NANO_2024_15_6_a2/}
}
TY - JOUR AU - Kuo-Shou Chiu AU - Fernando Cordova-Lepe TI - Some conditions for the existence of 4-periodic solutions in non-homogeneous differential equations involving piecewise alternately advanced and retarded arguments JO - Nanosistemy: fizika, himiâ, matematika PY - 2024 SP - 749 EP - 754 VL - 15 IS - 6 UR - http://geodesic.mathdoc.fr/item/NANO_2024_15_6_a2/ LA - en ID - NANO_2024_15_6_a2 ER -
%0 Journal Article %A Kuo-Shou Chiu %A Fernando Cordova-Lepe %T Some conditions for the existence of 4-periodic solutions in non-homogeneous differential equations involving piecewise alternately advanced and retarded arguments %J Nanosistemy: fizika, himiâ, matematika %D 2024 %P 749-754 %V 15 %N 6 %U http://geodesic.mathdoc.fr/item/NANO_2024_15_6_a2/ %G en %F NANO_2024_15_6_a2
Kuo-Shou Chiu; Fernando Cordova-Lepe. Some conditions for the existence of 4-periodic solutions in non-homogeneous differential equations involving piecewise alternately advanced and retarded arguments. Nanosistemy: fizika, himiâ, matematika, Tome 15 (2024) no. 6, pp. 749-754. http://geodesic.mathdoc.fr/item/NANO_2024_15_6_a2/