Use of polynomials in localization problems for continuous dynamical systems
| Autor: | Kh. M. Ramazanova, A. N. Kanatnikov |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Discrete mathematics
Pure mathematics Polynomial Partial differential equation Dynamical systems theory General Mathematics 010102 general mathematics 01 natural sciences Polynomial matrix Difference polynomials Ordinary differential equation 0103 physical sciences Elementary symmetric polynomial 0101 mathematics 010301 acoustics Analysis Mathematics Sign (mathematics) |
| Zdroj: | Differential Equations. 52:1557-1562 |
| ISSN: | 1608-3083 0012-2661 |
| DOI: | 10.1134/s001226611612003x |
| Popis: | We study polynomials as localizing functions in localization problems. To obtain a nontrivial localizing set, we use the property of sign definiteness of a polynomial. We obtain necessary and sufficient conditions for the sign definiteness of polynomials as well as conditions under which the level surfaces of a polynomial are compact. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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