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Categories bid for delay dynamic equations of the global asymptotic

Author: LiJin
Tutor: ZhangXiaoSheng
School: Capital Normal University
Course: Applied Mathematics
Keywords: Time scales Delay dynamic equation Global asymptotic Forcing term Yorke condition
CLC: O175.8
Type: Master's thesis
Year: 2009
Downloads: 24
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Abstract


In this thesis, the global asymptotic property of delay dynamic equations and delay dynamic equations with a forcing term on time scales is studied. The research is divided into three chapters.In chapter one, we briefly introduce the back-ground and the main work of this paper.In chapter two, we study the global asymptotic behavior of a delay dynamic equation with a forcing termby Lyapunov method.These results extend the results in the literature.In chapter three, a first-order nonlinear variable-delay dynamic equation on time scalesis studied and the relaxed (?)-conditions are obtained for asymptotic stability by using Yorke condition.These results improve and extend the results in the literature.

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