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Qualitative Study of Almost Periodic Solutions of Some Competition System

Author: XuPeng
Tutor: ZuoWeiPing
School: Shanxi University
Course: Basic mathematics
Keywords: nonlinear differential system time delay boundedness uniform stability quasi-uniform asymptotic stability
CLC: O175
Type: Master's thesis
Year: 2011
Downloads: 20
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Abstract


The objective of this thesis is to investigate the stability of nonlinear differential systems with time delay, the thesis includes three chapters. The results given in this thesis extend and improve the corresponding ones in the literatures.In Chapter 1, we mainly introduce the process of the stability of nonlinear differ-ential systems with time delay and give the obtained results of the stability of nonlinear differential systems with time delay.In Chapter 2, by using the method of extension and Shrinkage of inequality, we discuss the boundedness, the globally attractive of the almost periodic positive solutions of a discrete Lotka-volterra competition system. The results we obtained extend the results of the references to m dimension.In Chapter 3, we consider the nonlinear differential system with time delay and feedback,By using the corresponding theory of the almost periodic equations and the technique of Lyapunov-Razumikhin, we obtain the sufficient conditions for boundedness, uni-form stability and quasi-uniform asymptotic stability for the solutions to nonlinear differential systom with time delav and feedback.

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Differential equations, integral equations
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