ON THE SPECTRAL PROPERTIES OF A WAVE OPERATOR PERTURBED BY A LOWER-ORDER TERM

Авторы

  • A.Sh.Shaldanbayev Silkway International University, Shymkent, Kazakhstan
  • M.I.Akylbayev Regional social-innovative University, Shymkent, Kazakhstan
  • A.A.Shaldanbayeva Regional social-innovative University, Shymkent, Kazakhstan
  • A.Zh.Beisebayeva South Kazakhstan State University M.Auezova, Shymkent, Kazakhstan

Ключевые слова:

deviating argument, beam of operators, strong solvability, spectrum, functional - differential operator.

Аннотация

The incorrectness of the minimal wave operator is well known, since zero is an infinite-to-one
eigenvalue for it. As our study showed, the situation changes if the operator is perturbed by a low-order term
containing the spectral parameter as a coefficient, and eventually the problem takes the form of a beam of operators.
The resulting beam of operators is easily factorized by first-order functional-differential operators which spectral
properties are easily studied by the classical method of separation of variables. Direct application of the method of
separation of variables to the original beam of operators encounters the insurmountable difficulties.

Загрузки

Опубликован

2019-08-10

Как цитировать

A.Sh.Shaldanbayev, M.I.Akylbayev, A.A.Shaldanbayeva, & A.Zh.Beisebayeva. (2019). ON THE SPECTRAL PROPERTIES OF A WAVE OPERATOR PERTURBED BY A LOWER-ORDER TERM. Известия НАН РК. Серия физико-математическая, (4), 22–29. извлечено от https://journals.nauka-nanrk.kz/physics-mathematics/article/view/1672

Выпуск

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

Раздел

Статьи