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

被引：70

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

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