Positive periodic solutions of nonlinear differential systems with impulses |
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| Authors: | Yongkun Li |
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| Institution: | Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, People’s Republic of China |
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| Abstract: | By using a fixed point theorem of strict-set-contraction, sufficient conditions for the existence of positive periodic solutions of nonlinear differential systems with impulses are obtained. As applications of our results, the existence of positive periodic solutions are established for delay Lotka–Volterra systems with impulses or without impulses. |
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| Keywords: | Positive periodic solution Nonlinear impulsive differential equations Lotka&ndash Volterra system Fixed point theorem |
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