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Inverse problems for differential operators with singular boundary conditions

✍ Scribed by Gerhard Freiling; Vjacheslav Yurko

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
226 KB
Volume
278
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

Singular boundary conditions are formulated for Sturm–Liouville operators having singularities and turning points at the end‐points of the interval. For boundary‐value problems with singular boundary conditions, inverse problems of spectral analysis are studied. We give formulations of the inverse problems both for the case of separated and non‐separated singular boundary conditions. For each class of inverse problems we prove a uniqueness theorem and give a procedure for constructing the solution of the inverse problem. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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