대한수학회지 (Journal of the Korean Mathematical Society)

  • 제46권6호
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  • Pages.1243-1254
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  • 2009
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  • 0304-9914(pISSN)
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  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
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ON THE INVERSE PROBLEM FOR STURM-LIOUVILLE OPERATOR WITH A NONLINEAR SPECTRAL PARAMETER IN THE BOUNDARY CONDITION

  • Mamedov, Khanlar R. (DEPARTMENT OF MATHEMATICS MERSIN UNIVERSITY)
  • 발행 : 2009.11.01
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초록

The inverse scattering problem is investigated for some second order differential equation with a nonlinear spectral parameter in the boundary condition on the half line [0, $\infty$). In the present paper the coefficient of spectral parameter is not a pure imaginary number and the boundary value problem is not selfadjoint. We define the scattering data of the problem, derive the main integral equation and show that the potential is uniquely recovered.

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참고문헌

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피인용 문헌

  1. On an inverse scattering problem for a class of Dirac operators with spectral parameter in the boundary condition vol.393, pp.2, 2012, https://doi.org/10.1016/j.jmaa.2012.03.009
  2. On an Inverse Scattering Problem for a Discontinuous Sturm-Liouville Equation with a Spectral Parameter in the Boundary Condition vol.2010, pp.1, 2010, https://doi.org/10.1155/2010/171967
  3. Inverse scattering problem for Sturm-Liouville operator with nonlinear dependence on the spectral parameter in the boundary condition vol.34, pp.2, 2011, https://doi.org/10.1002/mma.1352
  4. On an inverse scattering problem for a class Dirac operator with discontinuous coefficient and nonlinear dependence on the spectral parameter in the boundary condition vol.35, pp.14, 2012, https://doi.org/10.1002/mma.2553
  5. Reconstruction of the Sturm–Liouville Operator with Nonseparated Boundary Conditions and a Spectral Parameter in the Boundary Condition vol.69, pp.9, 2018, https://doi.org/10.1007/s11253-018-1440-0
  6. Inverse Scattering Problems for Sturm - Liouville Operators with Spectral Parameter Dependent on Boundary Conditions vol.103, pp.1, 2018, https://doi.org/10.4213/mzm11379