ON THE SQUARE ROOT OF THE OPERATOR OF STURM-LIOUVILLE FOURTH-ORDER
Ключевые слова:
Kato conjecture, dissipative operator, square root of operator, Putnam theorem, deviating argument, fractional powers of an operator, inverse problem, spectrum, unitary operator, self-adjoint operator, positive operator, functional differential operator, spectral theory.Аннотация
In the present work found the root of the positive operator of the Sturm - Liouville problem of the
fourth order, which is invertible composition operator of the Sturm - Liouville problem and its adjoint. The found
root does not possess the property of positivity, but is a self-adjoint operator in the essential. One theorem of Putnam
of algebraic character is used as a leading idea. It is hoped that the results will find applications in spectral operator
theory and theoretical physics.
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Опубликован
2019-06-10
Как цитировать
А.Sh. Shaldanbayev, A.B. Imanbayeva, A.Zh. Beisebayeva, & А.А. Shaldanbayeva. (2019). ON THE SQUARE ROOT OF THE OPERATOR OF STURM-LIOUVILLE FOURTH-ORDER. Доклады НАН РК. Физико-математическая серия, (3), 85–96. извлечено от https://journals.nauka-nanrk.kz/physics-mathematics/article/view/1637
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