Relations among eigenvalues of left-definite Sturm-Liouville problems with coupled BCS and separated BCS

Authors:
YanXia Zhang;Xuefeng Zhang
Affiliations:
School of Mathematics and Physics, AnHui University of Technology, Ma anshan, 243002, China;Department of Computer Science, AnHui University of Technology, Ma anshan, 243002, China
Venue:
Journal of Computational and Applied Mathematics
Year:
2012

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Abstract

This paper deals with Left-Definite regular self-adjoint SLPs with coupled boundary conditions. It is obtained that, for a given eigenvalue @l"* of Left-Definite regular SLPs with coupled BCs, there are some separated BCs also having @l"* as an eigenvalue with the same index or indices. And then we can construct an algorithm for computing the index of a given eigenvalue for the Left-Definite SLPs with coupled boundary conditions.