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
相关论文
共 50 条
  • [31] Stability properties of second order delay integro-differential equations
    Yenicerioglu, Ali Fuat
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (12) : 3109 - 3117
  • [32] Stability of solutions of delay functional integro-differential equations and their discretizations
    Hermann Brunner
    Rossana Vermiglio
    Computing, 2003, 71 : 229 - 245
  • [33] EXISTENCE OF SOLUTIONS FOR ABSTRACT NEUTRAL INTEGRO-DIFFERENTIAL EQUATIONS WITH UNBOUNDED DELAY
    Hernandez, Eduardo M.
    O'Regan, Donal
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2011, 61 (03) : 691 - 706
  • [34] Partial neutral functional integro-differential equations of fractional order with delay
    Abbas, Said
    Benchohra, Mouffak
    Cabada, Alberto
    BOUNDARY VALUE PROBLEMS, 2012,
  • [35] Partial neutral functional integro-differential equations of fractional order with delay
    Saïd Abbas
    Mouffak Benchohra
    Alberto Cabada
    Boundary Value Problems, 2012
  • [36] Controllability for a class of fractional neutral integro-differential equations with unbounded delay
    Vijayakumar, V.
    Selvakumar, A.
    Murugesu, R.
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 232 : 303 - 312
  • [37] An improvement of the numerical stability results for nonlinear neutral delay-integro-differential equations
    Zhang, Chengjian
    Qin, Tingting
    Jin, Jie
    APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (02) : 548 - 556
  • [38] Neutral multivalued integro-differential evolution equations with infinite state-dependent delay
    Mebarki, Abdelaziz
    Baghli-Bendimerad, Selma
    TURKISH JOURNAL OF MATHEMATICS, 2020, 44 (06) : 2312 - 2329
  • [39] Existence results for fractional neutral integro-differential equations with state-dependent delay
    Carvalho dos Santos, Jose Paulo
    Arjunan, M. Mallika
    Cuevas, Claudio
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (03) : 1275 - 1283
  • [40] ASYMPTOTIC STABILITY AND STABILITY SWITCHES IN A LINEAR INTEGRO-DIFFERENTIAL SYSTEM
    Matsunaga, Hideaki
    Hashimoto, Hiroki
    DIFFERENTIAL EQUATIONS & APPLICATIONS, 2011, 3 (01): : 43 - 55
12345