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

被引：0

作者：

Melati, Oussama ^{[1
]}

Slama, Abdeldjalil ^{[1
]}

Ouahab, Abdelghani ^{[2
]}

机构：

[1] Univ Adrar, Lab Math Modeling & Applicat, Natl Rd 06, Adrar 01000, Algeria

[2] Univ Djillali Liabes Sidi Bel Abbes, Lab Math, Sidi Bel Abbes 22000, Algeria

来源：

AFRIKA MATEMATIKA | 2023年 / 34卷 / 02期

关键词：

Hausdorff measure of noncompactness; Impulsive stochastic integro-differential equations; Controllability; Infinite delay; Resolvent operator; Fixed point theory; RESOLVENT OPERATORS; INTEGRAL-EQUATIONS;

D O I：

10.1007/s13370-023-01069-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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 Monch fixed point theorem. The semigroup is only required to be strongly continuous. At the end, examples are presented to illustrate the obtained result.

引用

页数：19

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