On \(\phi_0\)-stability for nonlinear Volterra integrodifferential systems (Q1294279)
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scientific article; zbMATH DE number 1311092
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On \(\phi_0\)-stability for nonlinear Volterra integrodifferential systems |
scientific article; zbMATH DE number 1311092 |
Statements
On \(\phi_0\)-stability for nonlinear Volterra integrodifferential systems (English)
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29 June 1999
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The uniform \(\varphi_0\) stability, uniform Lipschitz \(\varphi_0\) stability and uniform asymptotical \(\varphi_0\) stability for linear, nonlinear and perturbed integrodifferential equations are investigated. A method for constructing Lyapunov functions for the three classes of integrodifferential equations is presented. Sufficient conditions for the different types of stability of the systems are established.
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nonlinear Volterra integrodifferential systems
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uniform stability
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asymptotical stability
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Lyapunov functions
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0.9375762
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0.9292139
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