The finite spectrum of Sturm-Liouville problems with n transmission conditions and quadratic eigenparameter-dependent boundary conditions

For any positive integer and a set of positive integers , , we construct a class of quadratic eigenparameter-dependent boundary Sturm-Liouville problems with transmission conditions, which have at most eigenvalues. The key to this analysis is still the division of intervals and an iterative construc...

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Bibliographic Details
Published inOpen mathematics (Warsaw, Poland) Vol. 19; no. 1; pp. 1736 - 1745
Main Authors Li, Jia, Hao, Xiaoling, Li, Kun, Yao, Siqin
Format Journal Article
LanguageEnglish
Published Warsaw De Gruyter 31.12.2021
De Gruyter Poland
Subjects
34B24
34L05
34L15
Boundary conditions
Characteristic functions
eigenvalue
Eigenvalues
finite spectrum
quadratic eigenparameter-dependent
Sturm-Liouville problems
transmission conditions
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Summary:For any positive integer and a set of positive integers , , we construct a class of quadratic eigenparameter-dependent boundary Sturm-Liouville problems with transmission conditions, which have at most eigenvalues. The key to this analysis is still the division of intervals and an iterative construction of the characteristic function. Further, some examples are given for a simple explanation.
ISSN:2391-5455
2391-5455
DOI:10.1515/math-2021-0107