Application of quasihomogeneous polynomials to some problems of stability (Q2759372)
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scientific article; zbMATH DE number 1681782
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Application of quasihomogeneous polynomials to some problems of stability |
scientific article; zbMATH DE number 1681782 |
Statements
12 December 2001
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differential equations
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stability
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quasiquadratic forms
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Lyapunov stability
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Application of quasihomogeneous polynomials to some problems of stability (English)
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Some problems of stability are investigated on the basis of quasiquadratic forms introduced by the author earlier. The stability of systems of differential equations with quasihomogeneous right-hand sides is investigated. For some class of essentially nonlinear systems of a special type, theorems similar to Lyapunov's theorems for the stability by the first approximation are given. For such systems, some problems are considered that are related to the critical case.
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