Quasi-periodic solutions for perturbed autonomous delay differential equations |
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| Authors: | Xuemei Li Xiaoping Yuan |
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| Institution: | 1. Department of Mathematics, Hunan Normal University, Changsha, Hunan 410081, China;2. School of Mathematical Sciences, Fudan University, Shanghai 200433, China |
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| Abstract: | This work discusses the persistence of quasi-periodic solutions for delay differential equations. We prove that the perturbed system possesses a quasi-periodic solution under appropriate hypotheses if an unperturbed linear system has quasi-periodic solutions. We extend some well-known results on ordinary differential equations to delay differential equations. |
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