UNIQUENESS OF THE SOLUTION OF HALF INVERSE PROBLEM FOR THE IMPULSIVE STURM LIOUVILLE OPERATOR

Title & Authors
UNIQUENESS OF THE SOLUTION OF HALF INVERSE PROBLEM FOR THE IMPULSIVE STURM LIOUVILLE OPERATOR
Ozkan, A. Sinan; Keskin, Baki; Cakmak, Yasar;

Abstract
The half-inverse spectral problem for an impulsive Sturm-Liouville operator consists in reconstruction of this operator from its spectrum and half of the potential. In this study, the spectrum of the impulsive Sturm-Liouville problem is given and by using the Hochstadt and Lieberman`s method we show that if $\small{q(x)}$ is prescribed on (0, $\small{{\frac{\pi}{2}}}$), then only one spectrum is sufficient to determine $\small{q(x)}$ on the interval (0, $\small{{\pi}}$) for this problem.
Keywords
Sturm-Liouville operator;determination of the potential;discontinuous condition;half inverse problem;
Language
English
Cited by
1.
Inverse spectral problems for the Sturm–Liouville operator with discontinuity, Journal of Differential Equations, 2017, 262, 3, 3093
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