INVERSE PROBLEM OF STURM-LIOUVILLE OPERATOR WITH NON-SEPARATED BOUNDARY VALUE CONDITIONS AND SYMMETRIC POTENTIAL

Авторы

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

Ключевые слова:

Sturm-Liouville operator, spectrum, inverse Sturm-Liouville problem, Borg theorem, Ambartsumyan theorem, Levinson theorem, non-separated boundary value conditions, symmetric potential, invariant subspaces, differential operators, inverse spectral problems.

Аннотация

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

Загрузки

Опубликован

2019-12-12

Как цитировать

A.Sh. Shaldanbayev, A.A. Shaldanbayeva, A.Zh. Beisebayeva, & B.A. Shaldanbay. (2019). INVERSE PROBLEM OF STURM-LIOUVILLE OPERATOR WITH NON-SEPARATED BOUNDARY VALUE CONDITIONS AND SYMMETRIC POTENTIAL. Известия НАН РК. Серия физика и информационные технологии., (6), 52–62. извлечено от https://journals.nauka-nanrk.kz/physics-mathematics/article/view/1693