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.
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页码：103 / 118
页数：16
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