Investigating stability using nonlinear quasihomogeneous approximation to differential equations with impulsive action (Q2921158)
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scientific article; zbMATH DE number 6349854
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | 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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