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http://dx.doi.org/10.4134/BKMS.2013.50.2.499

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

Ozkan, A. Sinan (Department of Mathematics Faculty of Art & Sci. Cumhuriyet University)
Keskin, Baki (Department of Mathematics Faculty of Art & Sci. Cumhuriyet University)
Cakmak, Yasar (Department of Mathematics Faculty of Art & Sci. Cumhuriyet University)
Publication Information
Bulletin of the Korean Mathematical Society / v.50, no.2, 2013 , pp. 499-506 More about this Journal
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 $q(x)$ is prescribed on (0, ${\frac{\pi}{2}}$), then only one spectrum is sufficient to determine $q(x)$ on the interval (0, ${\pi}$) for this problem.
Keywords
Sturm-Liouville operator; determination of the potential; discontinuous condition; half inverse problem;
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