Existence and global attractivity of almost periodic solutions for a delayed differential neoclassical growth model |
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Authors: | Lian Duan Chuangxia Huang |
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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 |
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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. |
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Keywords: | Neoclassical growth model almost periodic solution global attractivity time‐varying delay barbă lat lemma subclass 65L03 39A24 45M10 |
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