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Analysis of Stability of Some Difference Systems

Author: LiSheJun
Tutor: WangPeiGuang
School: Hebei University
Course: Applied Mathematics
Keywords: Pulse differential system Absolute differential system Stability Two metrics bounded Comparison theorem
CLC: O175.7
Type: Master's thesis
Year: 2009
Downloads: 15
Quote: 0
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Abstract


This article discusses the two differential system of relative stability and the stability of pulse differential system eventually Lipschitz stability and relative stability and absolute differential system metrics boundedness and stability text is divided into four chapters . the chapter outlines the historical background of the differential system , the status quo and the main work . application cone valued Lyapunov function method and comparison theorem discussed the relative stability of the system of two differential and stability , given certain criteria first . three chapters of the the final relative stability of impulsive differential system , the final relative stability criteria of Chapter IV of the absolute differential system Lipschitz stability and measure the Boundedness and Stability reached a number of criteria .

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