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Inverse problems for differential operators with singular boundary conditions
Author(s) -
Freiling Gerhard,
Yurko Vjacheslav
Publication year - 2005
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200410322
Subject(s) - mathematics , boundary value problem , gravitational singularity , mathematical analysis , inverse , inverse problem , uniqueness , boundary (topology) , singular solution , interval (graph theory) , geometry , combinatorics
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)