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
收藏
页码：103 / 118
页数：16
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