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Sobolev space estimates for solutions of equations with delay, and the basis of divided differencesстатья
Дата последнего поиска статьи во внешних источниках: 28 мая 2015 г.
- Авторы: Vlasov V.V., Ivanov S.A.
- Журнал: St. Petersburg Mathematical Journal
- Том: 15
- Номер: 4
- Год издания: 2004
- Первая страница: 545
- Последняя страница: 561
- DOI: 10.1090/S1061-0022-04-00821-0
- Аннотация: Sharp Sobolev space estimates for solutions of neutral difference-differential equations with arbitrary index are obtained without the assumption that the roots of the characteristic quasipolynomial are separated. The proof is based on the fact that the system of divided differences of the exponential solutions forms a Riesz basis. Moreover, it is proved that, under more general conditions, the system of exponential solutions is minimal and complete.
- Добавил в систему: Власов Виктор Валентинович