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Total stability of perturbed systems of differential equations - MaRDI portal

Total stability of perturbed systems of differential equations (Q1431998)

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scientific article; zbMATH DE number 2073829
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English
Total stability of perturbed systems of differential equations
scientific article; zbMATH DE number 2073829

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    Total stability of perturbed systems of differential equations (English)
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    11 June 2004
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    Theoretical connections are investigated between different notions of stability for a first-order nonlinear differential equation, possibly affected by an additive nonlinear perturbation. Using Lyapunov's method, a classification is proposed between uniform stability, Lipschitz stability and total stability, yielding a relation diagram.
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    nonlinear systems
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    stability
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