INVERSE PROBLEMS FOR DISCONTINOUS COEFFICIENTS STURM-LIOUVILLE OPERATORS DEPENDING ON THE SPECTRAL PARAMETER BOUNDARY CONDITIONS

Sevim Durak; Rauf Kh. Amirov

Sevim Durak Department of Mathematics Faculty of Sci. Cumhuriyet University 58140, Sivas ,TURKEY
Rauf Kh. Amirov Department of Mathematics Faculty of Sci. Cumhuriyet University 58140, Sivas, TURKEY

Keywords: Integral representation, Inverse problem, Sturm-Liouville, Singular potential .

Abstract

In this study, depending on the spectral parameter boundary conditions discontinuous coefficients Sturm-Liouville is investigated . Also Weyl function for this problem under consideration has been dened and uniqueness theorems for solution of inverse problem according to this function have been proved.

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