Work

On some spectral problems for higher order differential operator equation, I

Year: 2025

Type: article

Abstract: The aim of the paper is first to study domains of definitions in terms of boundary conditions of minimal and maximal operators, as well as selfadjoint extensions of the minimal operator associated with a fourth-order differential operator equation. Further, we give necessary and sufficient conditions for those operators to have a purely discrete or continuous spectrum, to exist extension with resolvent from ?p, study asymptotics of spectrum in case of pure discrete spectrum.

Source: Filomat

DOI: 10.2298/fil2506895a

Authors: Nigar Aslanova, Khalig Aslanov

Institutions: Institute of Mathematics and Mechanics, Azerbaijan University of Architecture and Construction, Azerbaijan National Academy of Sciences

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4413246542

FWCI:

Cites: 14

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Related to: 10