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\(\phi_0\)-stability for impulsive systems of differential equations - MaRDI portal

\(\phi_0\)-stability for impulsive systems of differential equations (Q5942920)

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scientific article; zbMATH DE number 1646060
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\(\phi_0\)-stability for impulsive systems of differential equations
scientific article; zbMATH DE number 1646060

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    \(\phi_0\)-stability for impulsive systems of differential equations (English)
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    13 September 2001
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    The authors extend the notion of \(\phi_0\)-stability introduced by \textit{E. P. Akpan} and the reviewer [J. Math. Anal. Appl. 164, No. 2, 307-324 (1992; Zbl 0755.34044)] to impulsive systems of differential equations. They obtain sufficient conditions for the stability notions defined by applying the cone-valued Lyapunov function method.
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    \(\phi_0\)-stability
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    impulsive differential systems
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    Lyapunov functions
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