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
  • [1] Dissipativity and asymptotic stability of nonlinear neutral delay integro-differential equations
    Wen, Liping
    Wang, Wansheng
    Yu, Yuexin
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (3-4) : 1746 - 1754
  • [2] Fixed Points and Stability in Nonlinear Neutral Integro-Differential Equations with Variable Delay
    Soualhia, Imene
    Ardjouni, Abdelouaheb
    Djoudi, Ahcene
    FILOMAT, 2014, 28 (04) : 781 - 795
  • [3] Analytical and numerical stability of nonlinear neutral delay integro-differential equations
    Hu, Peng
    Huang, Chengming
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2011, 348 (06): : 1082 - 1100
  • [4] Asymptotic stability in nonlinear neutral Levin-Nohel integro-differential equations
    Bessioud K.
    Ardjouni A.
    Djoudi A.
    Ardjouni, Abdelouaheb (abd_ardjouni@yahoo.fr), 1600, Mathematical Research Press (2017):
  • [5] STABILITY FOR LINEAR NEUTRAL INTEGRO-DIFFERENTIAL EQUATIONS WITH VARIABLE DELAYS
    Ardjouni, Abdelouaheb
    Djoudi, Ahcene
    Soualhia, Imene
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2012,
  • [6] Stability in nonlinear neutral integro-differential equations with variable delay using fixed point theory
    Ardjouni A.
    Djoudi A.
    Journal of Applied Mathematics and Computing, 2014, 44 (1-2) : 317 - 336
  • [7] Stability of neutral Volterra integro-differential equations with infinite delay
    Li, Xiushuai
    Jiang, Jiao
    PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2023, 4 (02):
  • [8] Nonlinear stability of Runge-Kutta methods for neutral delay integro-differential equations
    Yu, Yuexin
    Wen, Liping
    Li, Shoufu
    APPLIED MATHEMATICS AND COMPUTATION, 2007, 191 (02) : 543 - 549
  • [9] Existence and Asymptotic Periodicity of Solutions for Neutral Integro-Differential Evolution Equations with Infinite Delay
    Zhu, Jianbo
    Fu, Xianlong
    MATHEMATICA SLOVACA, 2022, 72 (01) : 121 - 140
  • [10] FIXED POINTS AND STABILITY IN NONLINEAR NEUTRAL VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS WITH VARIABLE DELAYS
    Ardjouni, Abdelouaheb
    Djoudi, Ahcene
    ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2013, (28) : 1 - 13
12345