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Existence and global attractivity of almost periodic solutions for a delayed differential neoclassical growth model
Authors:Lian Duan  Chuangxia Huang
Affiliation:1. School of Science, Anhui University of Science and Technology, Huainan, China;2. School of Mathematics and Statistics, Changsha University of Science Technology, Changsha, China
Abstract: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 © 2016 John Wiley & Sons, Ltd.
Keywords:Neoclassical growth model  almost periodic solution  global attractivity  time‐varying delay  barbă  lat lemma  subclass 65L03  39A24  45M10
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