On uniqueness theorems for second order inverse eigenvalue problems

Two uniqueness theorems are presented for second order inverse eigenvalue problems where the differential equation is given in Liouville normal form. These theorems assume that boundary conditions are known. Uniqueness is achieved from knowledge of a “reduced” set of spectral data.

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Bibliographic Details
Published inJournal of mathematical analysis and applications Vol. 118; no. 1; pp. 38 - 41
Main Author McLaughlin, Joyce R
Format Journal Article
LanguageEnglish
Published San Diego, CA Elsevier Inc 15.08.1986
Elsevier
Subjects
Exact sciences and technology
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Ordinary differential equations
Sciences and techniques of general use
Second order equation
Eigenvalue problem
Boundary condition
Differential equation
Uniqueness theorem
Inverse problem
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Summary:Two uniqueness theorems are presented for second order inverse eigenvalue problems where the differential equation is given in Liouville normal form. These theorems assume that boundary conditions are known. Uniqueness is achieved from knowledge of a “reduced” set of spectral data.
ISSN:0022-247X
1096-0813
DOI:10.1016/0022-247X(86)90288-X