Almost Periodic Solution for Forced Perturbed Non-Instantaneous Impulsive Model

被引：0

作者：

Ma, Rui ^{[1
]}

Li, Mengmeng ^{[1
]}

机构：

[1] Guizhou Univ, Dept Math, Guiyang 550025, Peoples R China

来源：

AXIOMS | 2022年 / 11卷 / 10期

基金：

中国国家自然科学基金;

关键词：

non-instantaneous impulsive; forced perturbed; almost periodic; exponentially stable; DELAY POPULATION EQUATION;

D O I：

10.3390/axioms11100496

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we investigate a forced perturbed non-instantaneous impulsive model. Firstly, we prove the existence and uniqueness of an almost periodic solution for the model considered by the Banach contraction principle. Secondly, we prove that all solutions converge exponentially to the almost periodic solution. In other words, the solution of the model considered is exponentially stable. Finally, we provide some simulations to show the effectiveness of the theoretical results.

引用

页数：13

共 32 条

[1] The controllability of an impulsive integro-differential process with nonlocal feedback controls
Cardinali, T.
Rubbioni, P.
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2019, 347 : 29 - 39
[2] Almost periodic solutions of nonlinear delay population equation with feedback control
Chen Xiaoxing
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2007, 8 (01) : 62 - 72
[3] Almost-periodic solutions of a delay population equation with feedback control
Chen Xiaoxing
Chen Fengde
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2006, 7 (04) : 559 - 571
[4] Cushing, 1977, LECT NOTES BIOMATHEM, V20, DOI DOI 10.1007/978-3-642-93073-7
[5] Dynamical Behavior of SEIR-SVS Epidemic Models with Nonlinear Incidence and Vaccination
Feng, Xiao-mei
Liu, Li-li
Zhang, Feng-qin
[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2022, 38 (02): : 282 - 303
[6] PERIODIC SOLUTIONS AND HYERS-ULAM STABILITY OF ATMOSPHERIC EKMAN FLOWS
Guan, Yi
Feckan, Michal
Wang, Jinrong
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2021, 41 (03) : 1157 - 1176
[7] Dynamic behaviors of the FitzHugh-Nagumo neuron model with state-dependent impulsive effects
He, Zhilong
Li, Chuandong
Chen, Ling
Cao, Zhengran
[J]. NEURAL NETWORKS, 2020, 121 (121) : 497 - 511
[8] On a new class of abstract integral equations and applications
Hernandez, Eduardo
O'Regan, Donal
Bena, Maria Aparecida
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2012, 219 (04) : 2271 - 2277
[9] Almost periodic solutions for an asymmetric oscillation
Huang, Peng
Li, Xiong
Liu, Bin
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2017, 263 (12) : 8916 - 8946
[10] Distributed Synchronization of Delayed Neural Networks: Delay-Dependent Hybrid Impulsive Control
Ji, Xinrui
Lu, Jianquan
Jiang, Bangxin
Shi, Kaibo
[J]. IEEE TRANSACTIONS ON NETWORK SCIENCE AND ENGINEERING, 2022, 9 (02): : 634 - 647

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