Work

The basis property of generalized eigenfunctions for one boundary value problem with discontinuities at two interior points

Year: 2024

Type: article

Abstract: In this study, we consider a spectral problem for one boundary value problem with discontinuities at two interior points. The boundary conditions involve a spectral parameter. We consider some compact, positive, self-adjoint operators to reduce the spectral problem to an operator-pencil equation. Then, it was proven that this operator-pencil is positive definite, the spectrum is discrete, and the system of weak eigenfunctions forms a Riesz basis of the appropriate Sobolev space.

Source: journal of new results in science

DOI: 10.54187/jnrs.1569468

Authors: Hayati Olğar, Oktay Mukhtarov

Institution: Tokat Gaziosmanpaşa Üniversitesi

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4405932479

FWCI:

Cites: 24

Cited by:

Related to: 10