Spectral Analysis for an Indefinite Singular Sturm-Liouville Problem

G. Freiling Institut für Mathematik, Universität Duisburg, Duisburg, D-47048, Germany

V. Rykhlov Department of Mathematics, Saratov State University, Astrakhanskaya 83, Saratov, 410026, Russia

V. Yurko Institut für Mathematik, Universität Duisburg, Duisburg, D-47048, Germany

Direct and inverse problems of spectral analysis are studied for an indefinite singular boundary value problem coming from astrophysics. We establish properties of the spectrum, prove completeness and expansion theorems and investigate the inverse problem of recovering the differential equation from the given spectral characteristics.

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Spectral Analysis for an Indefinite Singular Sturm-Liouville Problem

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