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Variational method and Lyapunov stability theory

Author: FengWeiJie
Tutor: FuXiLin；LiuXiYu
School: Shandong Normal University
Course: Applied Mathematics
Keywords: Variational Lyapunov method Perturbation term Comparison theorem Strict Stability Strict boundedness Stability of Two Measures
CLC: O175.21
Type: Master's thesis
Year: 2000
Downloads: 142
Quote: 1
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Abstract


This article will use the variational Lyapunov method to establish some guidelines for determining the nature of perturbed differential equations , such as stability , boundedness , ultimate stability and the stability of two measures . Lyapunov method with the previously used to compare the results , we find that the variational method is Lyapunov Lyapunov method of a promotion , the previous results of this paper some of the results can be used as a special case .

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Differential equations, integral equations > Partial Differential Equations > Stability theory
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