Investigating stability using nonlinear quasihomogeneous approximation to differential equations with impulsive action (Q2921158)

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scientific article; zbMATH DE number 6349854
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Investigating stability using nonlinear quasihomogeneous approximation to differential equations with impulsive action
scientific article; zbMATH DE number 6349854

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    Investigating stability using nonlinear quasihomogeneous approximation to differential equations with impulsive action (English)
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    30 September 2014
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    impulses at fixed points
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    quasihomogeneous system
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    Lyapunov stability
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    Lyapunov's direct method
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    Nonlinear impulsive differential equations are considered. The corresponding linear system is a quasihomogeneous one. Sufficient conditions for the asymptotic stability of the zero solution are obtained. Lyapunov's direct method is applied. Also the stability under small perturbations is studied.
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