Periodic Solutions for an Impulsive System of Fractional Order Integro-Differential Equations with Maxima

被引：6
作者：
Yuldashev, T. K. [1 ]
Abduvahobov, T. A. [1 ]
机构：
[1] Tashkent State Univ Econ, Tashkent 100066, Uzbekistan
来源：
LOBACHEVSKII JOURNAL OF MATHEMATICS | 2023年 / 44卷 / 10期
关键词：
impulsive integro-differential equations; Gerasimov-Caputo operator; (omega; c)-periodic boundary value condition; contracted mapping; existence and uniqueness; DIFFERENTIAL-EQUATIONS; INVERSE PROBLEM; MIXED-TYPE; UNIQUENESS; EXISTENCE; KERNEL;
D O I：
10.1134/S1995080223100451
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A (omega, c)-periodic boundary value problem for a fractional order system of ordinary integro-differential equations with impulsive effects and maxima is investigated. The existence and uniqueness of the solution of the (omega, c)-periodic boundary value problem are reduced to the investigation of solvability of the system of nonlinear functional integral equations. The method of contracted mapping is used in the proof of one-valued solvability of nonlinear functional integral equations. Obtained some estimates for the (omega, c)-periodic solution of the studying problem.
引用
收藏
页码：4401 / 4409
页数：9
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