Invariant and attracting sets of non-autonomous impulsive neutral integro-differential equations

被引:0
作者
Li, Bing [1 ,2 ]
机构
[1] Sichuan Univ, Yangtze Ctr Math, Chengdu 610064, Peoples R China
[2] Chongqing Jiaotong Univ, Coll Sci, Chongqing 400074, Peoples R China
关键词
Impulsive; Neutral Integro-differential Equation; Attracting Set; Stability; GLOBAL EXPONENTIAL STABILITY; HOPFIELD NEURAL-NETWORKS; BOUNDARY-VALUE-PROBLEMS; DIFFERENTIAL-EQUATIONS; ASYMPTOTIC STABILITY;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper is concerned with a non-autonomous impulsive neutral integro-differential equation with time-varying delays. We establish a novel singular delay integro-differential inequality, which enables us to derive several sufficient criteria on the positive invariant set, global attracting set and stability. An example is given to demonstrate the efficiency of proposed results.
引用
收藏
页码:1 / 18
页数:18
相关论文
共 50 条
[41]   Controllability of impulsive nonlinear ψ-Hilfer fractional integro-differential equations [J].
Ahmed, A. M. Sayed ;
AL-Nahhas, Mahmoud A. ;
Omar, Othman A. M. ;
Chalishajar, Dimplekumar N. ;
Ahmed, Hamdy M. .
RESULTS IN CONTROL AND OPTIMIZATION, 2024, 16
[42]   Periodic Solutions for Conformable Non-autonomous Non-instantaneous Impulsive Differential Equations [J].
Ding, Yuanlin ;
Liu, Kui .
MATHEMATICA SLOVACA, 2024, 74 (06) :1489-1506
[43]   A class of BVPS for first order impulsive functional integro-differential equations with a parameter [J].
Chen, Chuanming ;
Liang, Jitai ;
Zhen, Boqian .
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2013, (04) :1-17
[44]   Periodic Solutions of Second Order Impulsive System for an Integro-Differential Equations with Maxima [J].
Yuldashev, T. K. ;
Sulaimonov, F. U. .
LOBACHEVSKII JOURNAL OF MATHEMATICS, 2022, 43 (12) :3674-3685
[45]   APPROXIMATE CONTROLLABILITY OF NEUTRAL STOCHASTIC INTEGRO-DIFFERENTIAL SYSTEMS WITH IMPULSIVE EFFECTS [J].
Li, Meili ;
Li, Xiang .
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2016,
[46]   Stability for some impulsive neutral stochastic functional integro-differential equations driven by fractional Brownian motion [J].
Diop, Mamadou Abdoul ;
Ezzinbi, Khalil ;
Issaka, Louk-Man ;
Ramkumar, Kasinathan .
COGENT MATHEMATICS & STATISTICS, 2020, 7
[47]   Almost Periodic Solutions of Impulsive Integro-Differential Neural Networks [J].
Stamov, Gani Tr. ;
Alzabut, Jehad O. .
MATHEMATICAL MODELLING AND ANALYSIS, 2010, 15 (04) :505-516
[48]   ENHANCED IMPULSIVE STABILIZATION RESULTS OF DIFFERENTIAL AND INTEGRO-DIFFERENTIAL EQUATIONS OF SECOND ORDER [J].
Tunc, Osman ;
Berezansky, Leonid ;
Tunc, Cemil ;
Yao, Jen-Chih .
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2025,
[49]   Impulsive-integral inequalities for attracting and quasi-invariant sets of impulsive stochastic partial differential equations with infinite delays [J].
Wang, Li ;
Li, Dingshi .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
[50]   Impulsive-integral inequalities for attracting and quasi-invariant sets of impulsive stochastic partial differential equations with infinite delays [J].
Li Wang ;
Dingshi Li .
Journal of Inequalities and Applications, 2013