Existence and controllability results for stochastic impulsive integro-differential equations with infinite delay

被引：0
|
作者：
Oussama Melati
Abdeldjalil Slama
Abdelghani Ouahab
机构：
[1] University of Adrar,Laboratory of Mathematics Modeling and Applications
[2] University of Sidi-Bel-Abbes,Laboratory of Mathematics
来源：
Afrika Matematika | 2023年 / 34卷
关键词：
Hausdorff measure of noncompactness; Impulsive stochastic integro-differential equations; Controllability; Infinite delay; Resolvent operator; Fixed point theory; 60H10; 34A37; 47G20; 47H10;
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摘要：
In this work, the existence and the controllability of impulsive stochastic integro-differential equations with infinite delay are investigated. Unlike previous papers, the result of this one relies upon some weaker assumptions using a recently defined measure of noncompactness, resolvent operator solution in sense of Grimmer and Mönch fixed point theorem. The semigroup is only required to be strongly continuous. At the end, examples are presented to illustrate the obtained result.
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