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Local and Global Integrability of ODEsтезисы доклада Краткое сообщение
- Авторы: Victor Edneral, Valery Romanovski
- Сборник: International Conference Polynomial Computer Algebra '2018
- Тезисы
- Год издания: 2018
- Место издания: VVM Publ St. Petersburg
- Первая страница: 47
- Последняя страница: 51
- Аннотация: We propose the hypothesis that the local integrability in sense (1) in all stationary points of autonomous planar systems of ordinary differential equations with polynomial right sides and resolved with respect to derivatives leads to existence of the global first integral if this system has these local integrability at the same sets of parameters. If the system has invariant curves or separatists such integral can exist only in a part of the phase space.
- Добавил в систему: Еднерал Виктор Федорович