Existence, uniqueness and asymptotic stability of periodic solutions of periodic functional differential systems

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概要

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• We consider here a general Lotka-Volterra type n-dimensional periodic functional differential system. Sufficient conditions for the existence, uniqueness and global asymptotic stability of periodic solutions are established by combining the theory of monotone flow generated by FDEs, Horns asymptotic fixed point theorem and linearized stability analysis. These conditions improve and generalize the recent ones obtained by Freedman and Wu (1992) for scalar equations. We also present a nontrivial application of our results to a delayed nonautonomous predator-prey system.

• 東北大学の論文

著者

• Kuang Yang

  Department Of Mathematics Arizona State University

• Tang Baorong

  Department of Mathematics, Arizona State University

• Tang Baorong

  Department Of Mathematics Arizona State University

関連論文

• Qualitative analysis of a nonautonomous nonlinear delay differential equation
• Existence, uniqueness and asymptotic stability of periodic solutions of periodic functional differential systems

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