Open AccessFinite spectrum of Sturm-Liouville problems with eigenparameter-dependent boundary conditions on time scales
Author(s) -
Ji-jun Ao,
Juan Wang
Publication year - 2019
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1906747a
Subject(s) - sturm–liouville theory , mathematics , bounded function , eigenvalues and eigenvectors , spectrum (functional analysis) , boundary value problem , partition (number theory) , mathematical analysis , scale (ratio) , boundary (topology) , combinatorics , physics , quantum mechanics
The spectral analysis of a class of Sturm-Liouville problems with eigenparameter-dependent boundary conditions on bounded time scales is investigated. By partitioning the bounded time scale such that the coefficients of Sturm-Liouville equation satisfy certain conditions on the adjacent subintervals, the finite eigenvalue results are obtained. The results show that the number of eigenvalues not only depend on the partition of the bounded time scale, but also depend on the eigenparameter-dependent boundary conditions. Both of the self-adjoint and non-self-adjoint cases are considered in this paper.