On the approximation of isolated eigenvalues of ordinary differential operators

We extend a result of Stolz and Weidmann on the approximation of isolated eigenvalues of singular Sturm--Liouville and Dirac operators by the eigenvalues of regular operators.

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Bibliographic Details
Published in:	Proceedings of the American Mathematical Society Vol. 136; no. 7; pp. 2473 - 2476
Main Author:	Teschl, Gerald
Format:	Journal Article
Language:	English
Published:	Providence, RI American Mathematical Society 01-07-2008
Subjects:	Approximation Boundary conditions Differential operators Eigenvalues Exact sciences and technology General mathematics General, history and biography Mathematical analysis Mathematical lattices Mathematical theorems Mathematics Operator theory Ordinary differential equations Sciences and techniques of general use Spectral theory Sturm Liouville theory Dirac operators Sturm > Liouville operators eigenvalues Approximation Eigenvalue Mathematics Differential operator Dirac operator Liouville operator Singular operator
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Description
Summary:	We extend a result of Stolz and Weidmann on the approximation of isolated eigenvalues of singular Sturm--Liouville and Dirac operators by the eigenvalues of regular operators.
ISSN:	0002-9939 1088-6826
DOI:	10.1090/S0002-9939-08-09140-5