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Transformations Between Sturm‐Liouville Problems with Eigenvalue Dependent and Independent Boundary Conditions
Author(s) -
Binding Paul A.,
Browne Patrick J.,
Watson Bruce A.
Publication year - 2001
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609301008177
Subject(s) - sturm–liouville theory , mathematics , eigenvalues and eigenvectors , boundary value problem , mathematical analysis , boundary (topology) , physics , quantum mechanics
Explicit relationships are given connecting ‘almost’ isospectral Sturm‐Liouville problems with eigen‐value dependent, and independent, boundary conditions, respectively. Application is made to various direct and inverse spectral questions. 2000 Mathematics Subject Classification 34B24, 34L05, 47E05 .