On total \(\varphi_0\)-stability of nonlinear systems of differential equations (Q1855719)
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scientific article; zbMATH DE number 1861111
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On total \(\varphi_0\)-stability of nonlinear systems of differential equations |
scientific article; zbMATH DE number 1861111 |
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On total \(\varphi_0\)-stability of nonlinear systems of differential equations (English)
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28 January 2003
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The notion of \(\varphi_0\)-stability of systems of ordinary differential equations is introduced. The author extends the \(\varphi_0\)-stability notion to a new type of stability called total \(\varphi_0\)-stability and gives some criteria and results. His technique depends on Lyapunov's direct method.
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differential equations
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stability
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Lyapunov functions
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