Open AccessAn interior inverse problem for Sturm-Liouville operators with eigenparameter dependent boundary conditions
Author(s) -
Yuping Wang
Publication year - 2011
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.42.2011.864
Subject(s) - sturm–liouville theory , mathematics , eigenfunction , inverse , boundary value problem , mathematical analysis , boundary (topology) , inverse problem , point (geometry) , set (abstract data type) , geometry , eigenvalues and eigenvectors , computer science , physics , quantum mechanics , programming language
In this paper, we consider the inverse problem for Sturm-Liouville operators with eigenparameter dependent boundary conditions and show that the potential q(x) can be uniquely determined by a set of values of eigenfunctions at some interior point and parts of two spectra