ON ONE PROPERTY OF THE NUMERICAL RANGE OF A TWO-PARAMETER SPECTRAL PROBLEM

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.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-10-20
DOI
https://doi.org/10.5281/zenodo.17400760
Primary Topic
Differential Equations and Boundary Problems
Type
article
Field-Weighted Citation Impact
0.00
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article

ON ONE PROPERTY OF THE NUMERICAL RANGE OF A TWO-PARAMETER SPECTRAL PROBLEM

Zenodo (CERN European Organization for Nuclear Research)
Differential Equations and Boundary Problems
article

ON ONE PROPERTY OF THE NUMERICAL RANGE OF A TWO-PARAMETER SPECTRAL PROBLEM

article en

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.

Zenodo (CERN European Organization for Nuclear Research)
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ON ONE PROPERTY OF THE NUMERICAL RANGE OF A TWO-PARAMETER SPECTRAL PROBLEM · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS