On the globally asymptotic stability of solutions of ordinary differential equations (Q1100332)
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scientific article; zbMATH DE number 4042354
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the globally asymptotic stability of solutions of ordinary differential equations |
scientific article; zbMATH DE number 4042354 |
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On the globally asymptotic stability of solutions of ordinary differential equations (English)
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1987
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Consider equation (1) \(\dot x=X(t,x)\) (X(t,0)\(\equiv 0)\), where \(X: R^+\times R^ n\to R^ n\) is a continuous function. The authors give sufficient conditions respectively for the globally asymptotic stability, globally equi-asymptotic stability, and globally asymptotic stability of the zero slution of (1).
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globally asymptotic stability
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globally equi-asymptotic stability
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