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Boundary-value problems for Hamiltonian systems and absolute minimizers in calculus of variationsстатья
Дата последнего поиска статьи во внешних источниках: 27 октября 2021 г.
- Авторы: Kolokol’tsov V.N., Tyukov A.E.
- Журнал: Electronic Journal of Differential Equations
- Том: 2006
- Год издания: 2006
- Издательство: Texas State University - San Marcos
- Местоположение издательства: United States
- Первая страница: 1
- Последняя страница: 21
- Аннотация: We apply the method of Hamilton shooting to obtain the well-posedness of boundary value problems for certain Hamiltonian systems and some estimates for their solutions. The examples of Hamiltonian functions covered by the method include elliptic polynomials and exponentially growing functions. As a consequence we prove global existence, smoothness and almost everywhere uniqueness of absolute minimizers in the corresponding problem of calculus of variations and hence construct the global field of extremals. © 2006 Texas State University - San Marcos.
- Добавил в систему: Колокольцов Василий Никитич