The Lyapunov direct method in the theory of asymptotic equivalence of differential equations (Q1176949)
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scientific article; zbMATH DE number 12714
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Lyapunov direct method in the theory of asymptotic equivalence of differential equations |
scientific article; zbMATH DE number 12714 |
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The Lyapunov direct method in the theory of asymptotic equivalence of differential equations (English)
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25 June 1992
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Sufficient conditions for asymptotic equivalence of differential equations are given in terms of Lyapunov's direct method. The results are used for obtaining certain estimates needed to justify the application of a method for the asymptotic integration of perturbed differential equations from the author's previous paper [Izv. Vyssh. Uchebn. Zaved., Mat. 1987, No. 12(307), 72-74 (1987; Zbl 0663.34010)].
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asymptotic equivalence
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Lyapunov's direct method
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estimates
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asymptotic integration of perturbed differential equations
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