Existence and global attractivity of almost periodic solutions for a delayed differential neoclassical growthmodel

被引：68

作者：

Duan, Lian ^{[1
]}

Huang, Chuangxia ^{[2
]}

机构：

[1] Anhui Univ Sci & Technol, Sch Sci, Huainan 232001, Anhui, Peoples R China

[2] Changsha Univ Sci Technol, Sch Math & Stat, Changsha 410114, Hunan, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Neoclassical growth model; almost periodic solution; global attractivity; time-varying delay; barbalat lemma;

D O I：

10.1002/mma.4019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a class of generalized differential neoclassical growth model with time-varying delays, new criteria for the existence, and global attractivity of almost positive periodic solutions are established by using the theory of dichotomy and differential inequality techniques, together with constructing a suitable Lyapunov function. Finally, we present an example with numerical simulations to support the theoretical results. The obtained results are essentially new and complement previously known results. Copyright (C) 2016 JohnWiley & Sons, Ltd.

引用

页码：814 / 822

页数：9

共 50 条

[1] EXISTENCE AND GLOBAL ATTRACTIVITY OF ALMOST PERIODIC SOLUTION TO A DELAYED DIFFERENTIAL EQUATION
Penghua Hong
Annals of Applied Mathematics, 2011, 27 (02) : 138 - 144
[2] EXISTENCE AND GLOBAL ATTRACTIVITY OF ALMOST PERIODIC SOLUTION TO A DELAYED DIFFERENTIAL EQUATION
Penghua Hong Peixuan Weng School of Math South China Normal University Guangzhou
Annals of Differential Equations, 2011, 27 (02) : 138 - 144
[3] Exponential Attractivity in a Delayed Almost Periodic Differential Neoclassical Growth System
Lian Duan
Fengjun Di
Qualitative Theory of Dynamical Systems, 2019, 18 : 653 - 665
[4] Exponential Attractivity in a Delayed Almost Periodic Differential Neoclassical Growth System
Duan, Lien
Di, Fengjun
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2019, 18 (02) : 653 - 665
[5] Existence and global attractivity of almost periodic solutions for delayed high-ordered neural networks
Wang, Lili
NEUROCOMPUTING, 2010, 73 (4-6) : 802 - 808
[6] Existence and global attractivity of almost periodic solutions for neural field with time delay
Lou, Xuyang
Cui, Baotong
APPLIED MATHEMATICS AND COMPUTATION, 2008, 200 (01) : 465 - 472
[7] Existence and global attractivity of an almost periodic ecological model
Xia, YH
Chen, FD
Chen, AP
Cao, JD
APPLIED MATHEMATICS AND COMPUTATION, 2004, 157 (02) : 449 - 475
[8] ON EXISTENCE AND GLOBAL ATTRACTIVITY OF PERIODIC SOLUTIONS OF NONLINEAR DELAY DIFFERENTIAL EQUATIONS
Qian, Chuanxi
Smith, Justin
OPUSCULA MATHEMATICA, 2019, 39 (06) : 839 - 862
[9] EXISTENCE AND GLOBAL ATTRACTIVITY OF PERIODIC SOLUTIONS FOR CHEMOSTAT MODEL WITH DELAYED NUTRIENTS RECYCLING
Jia, Jianwen
Zhang, Honghong
DIFFERENTIAL EQUATIONS & APPLICATIONS, 2014, 6 (02): : 275 - 286
[10] Positive pseudo almost periodic solutions for a delayed differential neoclassical growth model
Long, Zhiwen
Wang, Wentao
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2016, 22 (12) : 1893 - 1905

← 1 2 3 4 5 →