ON THE SQUARE ROOT OF THE OPERATOR OF STURM-LIOUVILLE FOURTH-ORDER

Авторы

  • А.Sh. Shaldanbayev “Silkway” International University, Shymkent
  • A.B. Imanbayeva M.Auezov South Kazakhstan State University, Shymkent
  • A.Zh. Beisebayeva M.Auezov South Kazakhstan State University, Shymkent
  • А.А. Shaldanbayeva "Regional Social-Innovative University", Shymkent

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.

Загрузки

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. Известия НАН РК. Серия физика и информационные технологии., (3), 85–96. извлечено от https://journals.nauka-nanrk.kz/physics-mathematics/article/view/1637