The Properties of Eigenvalues and Eigenfunctions for Nonlocal Sturm–Liouville Problems

The present paper is concerned with the spectral theory of nonlocal Sturm–Liouville eigenvalue problems on a finite interval. The continuity, differentiability and comparison results of eigenvalues with respect to the nonlocal potentials are studied, and the oscillation properties of eigenfunctions...

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Vydáno v:Symmetry (Basel) Ročník 13; číslo 5; s. 820
Hlavní autoři: Liu, Zhiwen, Qi, Jiangang
Médium: Journal Article
Jazyk:angličtina
Vydáno: Basel MDPI AG 01.05.2021
Témata:
Boundary conditions
Boundary value problems
Eigenvalues
Eigenvectors
Mathematical functions
Spectral theory
ISSN:2073-8994, 2073-8994
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Shrnutí:The present paper is concerned with the spectral theory of nonlocal Sturm–Liouville eigenvalue problems on a finite interval. The continuity, differentiability and comparison results of eigenvalues with respect to the nonlocal potentials are studied, and the oscillation properties of eigenfunctions are investigated. The comparison result of eigenvalues and the oscillation properties of eigenfunctions indicate that the spectral properties of nonlocal problems are very different from those of classical Sturm–Liouville problems. Some examples are given to explain this essential difference.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:2073-8994
2073-8994
DOI:10.3390/sym13050820