On the module containment of the almost periodic solution for a class of differential equations with piecewise constant delays |
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Authors: | Xitao Yang Rong Yuan |
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Affiliation: | a Department of Mathematics, Beijing Normal University, Beijing 100875, People's Republic of China b Department of Mathematics, Hunan University of Science and Technology, Xiangtan 411201, People's Republic of China |
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Abstract: | In the first part of this paper, we obtain a new property on the module containment for almost periodic functions. Based on it, we establish the module containment of an almost periodic solution for a class of differential equations with piecewise constant delays. In the second part, we investigate the existence, uniqueness and exponential stability of a positive almost periodic and quasi-periodic solution for a certain class of logistic differential equations with a piecewise constant delay. The module containment for the almost periodic solution is established. |
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Keywords: | Almost periodicity Module containment Piecewise constant argument Quasi-periodicity |
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