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Oscillation properties of nonlinear impulsive delay differential equations and applications to population models
Authors:Jurang Yan  Aimin Zhao
Institution:a School of Mathematical Sciences, Shanxi University, Taiyuan, Shanxi 030006, PR China
b Department of Mathematics, Binzhou College, Binzhou, Shandong 256600, PR China
Abstract:Comparison theorem and explicit sufficient conditions are obtained for oscillation and nonoscillation of solutions of nonlinear impulsive delay differential equations which can be utilized to population dynamic models. Our results in this paper generalize and improve several known results.
Keywords:Oscillation  Nonoscillation  Impulse  Delay differential equation
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