On the \(\phi_ 0\)-stability of functional differential equations (Q1924292)
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scientific article; zbMATH DE number 935129
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the \(\phi_ 0\)-stability of functional differential equations |
scientific article; zbMATH DE number 935129 |
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On the \(\phi_ 0\)-stability of functional differential equations (English)
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27 February 1997
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Some classes of functional differential equations are investigated. The cone-valued Lyapunov function method is extended for obtaining stability results for nonlinear functional differential equations. Necessary and sufficient conditions for the exponential stability of the steady state solution of a nonlinear hereditary system are obtained as well.
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functional differential equations
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cone-valued Lyapunov function
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stability
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nonlinear hereditary system
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