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Existence of positive periodic solutions of a neutral delay Lotka-Volterra system with impulses
Authors:Hai-Feng Huo
Affiliation:

Institute of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, P.R. China

Abstract:Sufficient conditions are obtained for the existence of periodic positive solutions of a class of neutral impulsive delay Lotka-Volterra systems View the MathML source by using some techniques of Mawhin coincidence degree theory. My results generalize some known results. It is shown that under the appropriate linear periodic impulsive perturbations, the neutral impulsive delay Lotka-Volterra system preserves the original periodicity of the neutral nonimpulsive delay Lotka-Volterra system.
Keywords:Impulsive delay Lotka-Volterra system  Positive periodic solution  Coincidence degree
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