Explicit conditions for stability of nonlinear scalar delay differential equations with impulses (Q5945654)
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scientific article; zbMATH DE number 1657344
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Explicit conditions for stability of nonlinear scalar delay differential equations with impulses |
scientific article; zbMATH DE number 1657344 |
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Explicit conditions for stability of nonlinear scalar delay differential equations with impulses (English)
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11 December 2001
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The author investigates sufficient conditions for stability, uniform stability and asymptotical stability of the zero solution to a nonlinear delay differential equation with impulses. Necessary and sufficient conditions for the uniform stability of the zero solution to a linear scalar delay differential equation with impulses are given. Some applications of these results extend and improve the corresponding results in the literature.
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nonlinear scalar delay differential equations
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stability
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impulse
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