Geodesic
Periodic solutions for an impulsive system of~integro-differential equations with maxima
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 26 (2022) no. 2, pp. 368-379

Voir la notice de l'article provenant de la source Math-Net.Ru

A periodical boundary value problem for a first-order system of ordinary integro-differential equations with impulsive effects and maxima is investigated. A system of nonlinear functional-integral equations is obtained and the existence and uniqueness of the solution of the periodic boundary value problem are reduced to the solvability of the system of nonlinear functional-integral equations. The method of successive approximations in combination with the method of compressing mapping is used in the proof of one-valued solvability of nonlinear functional-integral equations. We define the way with the aid of which we could prove the existence of periodic solutions of the given periodical boundary value problem.
Keywords: impulsive integro-differential equations, periodical boundary value condition, nonlinear kernel, compressing mapping, existence and uniqueness of periodic solution. 
@article{VSGTU_2022_26_2_a9,
     author = {T. K. Yuldashev},
     title = {Periodic solutions for an impulsive system of~integro-differential equations with maxima},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {368--379},
     publisher = {mathdoc},
     volume = {26},
     number = {2},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2022_26_2_a9/}
}
TY  - JOUR
AU  - T. K. Yuldashev
TI  - Periodic solutions for an impulsive system of~integro-differential equations with maxima
JO  - Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
PY  - 2022
SP  - 368
EP  - 379
VL  - 26
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VSGTU_2022_26_2_a9/
LA  - en
ID  - VSGTU_2022_26_2_a9
ER  - 
%0 Journal Article
%A T. K. Yuldashev
%T Periodic solutions for an impulsive system of~integro-differential equations with maxima
%J Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
%D 2022
%P 368-379
%V 26
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VSGTU_2022_26_2_a9/
%G en
%F VSGTU_2022_26_2_a9
T. K. Yuldashev. Periodic solutions for an impulsive system of~integro-differential equations with maxima. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 26 (2022) no. 2, pp. 368-379. http://geodesic.mathdoc.fr/item/VSGTU_2022_26_2_a9/