|
ИСТИНА |
Войти в систему Регистрация |
ИСТИНА ИНХС РАН |
||
Generalization of Jacobi’s Theorem on the Last Multiplierстатья
- Авторы: Kugushev E.I., Salnikova T.V.
- Журнал: Doklady Mathematics
- Номер: 3
- Год издания: 2024
- Издательство: Maik Nauka/Interperiodica Publishing
- Местоположение издательства: Russian Federation
- DOI: 10.1134/S1064562424702144
- Аннотация: To satisfy the conditions of Jacobi’s theorem on the last multiplier, the existence of an invariantmeasure and a sufficient number of independent first integrals are needed. In this case, the system can belocally integrated by quadratures. There are examples of systems for which the existence of partial first integrals is sufficient for the possibility of integration by quadratures. Moreover, integration by quadraturesoccurs at the level of partial first integrals. In this paper, Jacobi’s theorem on the last multiplier is extendedto the general situation when the first integrals include partial ones.
- Добавил в систему: Сальникова Татьяна Владимировна