INVERSE PROBLEM OF THE STURM-LIOUVILLE OPERATOR WITH UNSEPARATED BOUNDARY VALUE CONDITIONS AND SYMMETRIC POTENTIAL

Авторы

  • A.Sh.Shaldanbayev Silkway International University, Shymkent, Kazakhstan
  • A.A.Shaldanbayeva Regional social-innovative University, Shymkent, Kazakhstan
  • B.A.Shaldanbay South Kazakhstan State University M.O.Auezov, Shymkent, Kazakhstan

Ключевые слова:

Sturm - Liouville operator, spectrum, Sturm - Liouville inverse problem, Borg theorem, Ambartsumian theorem, Levinson theorem, unseparated boundary value conditions, symmetric potential, invariant subspaces.

Аннотация

In the paper we prove the uniqueness theorem on a single spectrum for the Sturm-Liouville operator
with unseparated boundary value conditions and real continuous symmetric potential. The research method is
different from all known methods, and is based on the internal symmetry of the operator generated by invariant
subspaces.

Загрузки

Опубликован

2019-08-10

Как цитировать

A.Sh.Shaldanbayev, A.A.Shaldanbayeva, & B.A.Shaldanbay. (2019). INVERSE PROBLEM OF THE STURM-LIOUVILLE OPERATOR WITH UNSEPARATED BOUNDARY VALUE CONDITIONS AND SYMMETRIC POTENTIAL. Известия НАН РК. Серия физико-математическая, (4), 30–41. извлечено от https://journals.nauka-nanrk.kz/physics-mathematics/article/view/1673

Выпуск

№ 4 (2019): Известия НАН РК. Серия физико-математическая

Раздел

Статьи