ON SPECTRAL PROPERTIES OF A BOUNDARY VALUE PROBLEM OF THE FIRST ORDER EQUATION WITH DEVIATING ARGUMENT

Авторы

  • A.Sh. Shaldanbayev
  • S.M. Shalenova
  • M.B. Ivanova
  • A.A. Shaldanbayeva

Ключевые слова:

equation with deviating argument, completeness, basic property, Volterra property, Gaal’s formula, Lidsky’s theorem, Sturm – Liouville operator, Riesz basis.

Аннотация

In this paper, we study spectral properties of a boundary value problem of a first order differential
equation with constant coefficients and deviating argument; the deviation is present at the highest term of the
equation, and it cannot be transferred to the lower terms of the equation without an additional condition. By spectral
properties, we mean completeness and basic properties of a system of eigenfunctions and associated functions of a
boundary value problem, as well as Volterra properties.

Загрузки

Опубликован

2019-10-10

Как цитировать

A.Sh. Shaldanbayev, S.M. Shalenova, M.B. Ivanova, & A.A. Shaldanbayeva. (2019). ON SPECTRAL PROPERTIES OF A BOUNDARY VALUE PROBLEM OF THE FIRST ORDER EQUATION WITH DEVIATING ARGUMENT. Известия НАН РК. Серия физико-математическая, (5), 19–39. извлечено от https://journals.nauka-nanrk.kz/physics-mathematics/article/view/1656

Выпуск

№ 5 (2019): Известия НАН РК. Серия физико-математическая

Раздел

Статьи