Stability of solutions to impulsive differential equations in critical cases (Q536627)

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scientific article; zbMATH DE number 5897317
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Stability of solutions to impulsive differential equations in critical cases
scientific article; zbMATH DE number 5897317

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    Stability of solutions to impulsive differential equations in critical cases (English)
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    19 May 2011
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    The paper considers the impulsive differential equations in critical cases. The authors propose a new approach to construct a piecewise Lyapunov function. The main result is Theorem 2.1 where the authors prove by using these new functions that the equilibrium state is Lyapunov asymptotically stable.
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    impulsive equation
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    critical case
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    Lyapunov stability
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