ON A BOUNDARY VALUE PROBLEM FOR DIFFUSION OPERATORSWITH NON-SEPARATED BOUNDARY CONDITIONS CONTAINING THESPECTRAL PARAMETER

In this paper a boundary value problem is considered generated by the diffusion equation and non-separated boundary conditions, one of which contains a spectral parameter.Some spectral properties of the boundary value problem are studied.It is proved that the eigenvalues are real and nonzero and that there are no associated functions to the eigenfunctions.

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Publication Details

Published
2025-01-01
DOI
https://doi.org/10.30546/209501.101.2024.1.3.028
Primary Topic
Differential Equations and Boundary Problems
Type
article
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article

ON A BOUNDARY VALUE PROBLEM FOR DIFFUSION OPERATORSWITH NON-SEPARATED BOUNDARY CONDITIONS CONTAINING THESPECTRAL PARAMETER

Differential Equations and Boundary Problems
article

ON A BOUNDARY VALUE PROBLEM FOR DIFFUSION OPERATORSWITH NON-SEPARATED BOUNDARY CONDITIONS CONTAINING THESPECTRAL PARAMETER

article en

Abstract

In this paper a boundary value problem is considered generated by the diffusion equation and non-separated boundary conditions, one of which contains a spectral parameter.Some spectral properties of the boundary value problem are studied.It is proved that the eigenvalues are real and nonzero and that there are no associated functions to the eigenfunctions.

Baku State University (AZ)
Openalex Percentile: Top 89%
Differential Equations and Boundary Problems
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ON A BOUNDARY VALUE PROBLEM FOR DIFFUSION OPERATORSWITH NON-SEPARATED BOUNDARY CONDITIONS CONTAINING THESPECTRAL PARAMETER · (2025) | TGRS Research Map | TGRS