Asymptotically Almost Automorphic Mild Solutions for Semilinear Integro-differential Evolution Equations

被引：1

作者：

Ikhlef, N. ^{[1
]}

Rezoug, N. ^{[2
]}

Salim, A. ^{[3
]}

Benchohra, M. ^{[4
]}

Litimein, S. ^{[4
]}

机构：

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

[2] Univ Relizane, Dept Math, Math, Relizane, Algeria

[3] Hassiba Benbouali Univ Chlef, Fac Technol, Math, Chlef, Algeria

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

来源：

JOURNAL OF MATHEMATICAL EXTENSION | 2023年 / 17卷 / 10期

关键词：

Asymptotically almost automorphic; integro-differential equations; mild solution; evolution system; Kuratowski measures of noncompactness; Monch fixed point; EXISTENCE; NONCOMPACTNESS; STABILITY;

D O I：

10.30495/JME.2023.2823

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the existence of asymptotically almost automorphic mild solution for a class of integro-differential equations. The existence results are established through the application of Monch's fixed point theorem and the utilization of measures of non-compactness. Additionally, we present an illustrative example to showcase the obtained outcomes.

引用

页数：30

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