ASYMPTOTIC STABILITY OF NONLINEAR NEUTRAL DELAY INTEGRO-DIFFERENTIAL EQUATIONS

被引：1

作者：

Nowak, Grzegorz ^{[1
]}

Saker, Samir H. ^{[2
,3
]}

Sikorska-Nowak, Aneta ^{[4
]}

机构：

[1] WSB Univ Poznan, Al Niepodleglosci 2, PL-61891 Poznan, Poland

[2] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt

[3] New Mansoura Univ, Fac Sci, Dept Math, New Mansoura City, Egypt

[4] Adam Mickiewicz Univ, Fac Math & Comp Sci, Uniwersytetu Poznanskiego,4, PL-61615 Poznan, Poland

来源：

MATHEMATICA SLOVACA | 2023年 / 73卷 / 01期

关键词：

Fixed point; integro-differential equations; Banach space; stability; measure of noncompactness; FUNCTIONAL-DIFFERENTIAL EQUATIONS; FIXED-POINTS;

D O I：

10.1515/ms-2023-0011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, by using Sadovskii's fixed point theorem and the properties of the measure of noncompactness, we establish some sufficient conditions for the asymptotic stability results of nonlinear neutral integro-differential equations with variable delays. The results presented in this paper improve and generalize some results in the literature. An example is considered to illustrate our main results.

引用

页码：103 / 118

页数：16

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