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On One Property of the Numerical Range of a Two-parameter Spectral Problem

Year: 2025

Type: article

Abstract: In this article studies the numerical range of one class of two-parameter spectral problems with compact self adjoint operators. It is proved that even without the requirement of neither right nor left of definiteness condition, the numerical range of the problem under consideration does not contain some  neighborhood ) ; ( ОU of a point )0,0(О of the real plane 2R . The exact upper bound of the values of the parameter is found.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.17400760

Authors: Mustafayev Sadig Tagi, Eldar Sh. Mammadov, Kasamanli Hamlet Cumshud, Askerova Rada Isfandiyar

Institutions: Azerbaijan Technical University, University of Technology of Azerbaijan, Institute of Mathematics and Mechanics

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7092730098

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