Bulletin of the Korean Mathematical Society (대한수학회보)

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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)
  • Received : 2011.10.25
  • Published : 2013.03.31
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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.

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References

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