| Autor: |
Beata Medak, Alexey A. Tret'yakov |
| Jazyk: |
angličtina |
| Předmět: |
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| Zdroj: |
Boundary Value Problems. 2015(1) |
| ISSN: |
1687-2770 |
| DOI: |
10.1186/s13661-015-0360-2 |
| Popis: |
The paper studies the existence problem of periodic solutions of the nonlinear dynamical systems in the singular case. We prove a certain generalization of the Andronov-Hopf theorem. This generalization is based on an application of the theorem on a modified p-factor operator. It also uses some other results and constructions of the p-regularity theory. Moreover, we prove theorems on the solution’s uniqueness. We illustrate our results by the example of a nonlinear dynamical system of ordinary differential equations. Our purpose is to find periodic solutions of such system with fixed period 2π. This is a new research in relation to previous work, where the authors were looking for periodic solutions with period near 2π. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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