EXISTENCE AND ULAM-HYERS-RASSIAS STABILITY OF MILD SOLUTIONS FOR IMPULSIVE INTEGRO-DIFFERENTIAL SYSTEMS VIA RESOLVENT OPERATORS

被引：0
|
作者：
Bensalem, Abdelhamid [1 ]
Salim, Abdelkrim [1 ,2 ]
Benchohra, Mouffak [1 ]
Karapinar, Erdal [3 ,4 ]
机构：
[1] Univ Djillali Liabes Sidi Bel Abbes, Math Lab, POB 89, Sidi Bel Abbes 22000, Algeria
[2] Hassiba Benbouali Univ Chlef, Fac Technol, POB 151, Chlef 02000, Algeria
[3] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkiye
[4] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan
来源：
MATHEMATICAL FOUNDATIONS OF COMPUTING | 2025年 / 8卷 / 02期
关键词：
Fixed point theory; integro-differential system; generalized measure of noncompactness; condensing operator; Ulam-Hyers-Rassias stability; INTEGRAL-EQUATIONS;
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
The aim of this paper is to present existence, Ulam-Hyers-Rassias stability and continuous dependence on initial conditions for the mild solution of impulsive integro-differential systems via resolvent operators. Our analysis is based on fixed point theorem with generalized measures of noncompactness, this approach is combined with the technique that uses convergence to zero matrices in generalized Banach spaces. An example is presented to illustrate the efficiency of the result obtained.
引用
收藏
页码：209 / 231
页数：23
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