Lyapunov-Razumikhin pairs in the instability problem for infinite delay equations (Q988882)
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scientific article; zbMATH DE number 5773056
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lyapunov-Razumikhin pairs in the instability problem for infinite delay equations |
scientific article; zbMATH DE number 5773056 |
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Lyapunov-Razumikhin pairs in the instability problem for infinite delay equations (English)
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19 August 2010
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The author studies nonautonomous nonlinear equations with infinite delay. Theorems on complete instability of the zero solution relative to a set for the systems under consideration are proved. The main results are obtained by using a Lyapunov-Razumikhin pair ``function + functional'' and limiting equations.
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delay differential equation
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infinite delay
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instability
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Lyapunov-Razumikhin pairs
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limiting equations
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