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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,∞). 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 (15)
참고문헌 신청
B. M. Levitan / 1975 / On the solution of the inverse problem of quantum scattering theory / Mat. Zametki 17 (4) : 611 ~ 624
B. M. Levitan / 1987 / Inverse Sturm-Liouville problems, Translated from the Russian / VSP
C. T. Fulton / 1981 / Singular eigenvalue problems with eigenvalue parameter contained in the boundary conditions / Proc. Roy. Soc. Edinburgh Sect. A 87 (1) : 1 ~ 34
E. A. Poˇchˇeykina-Fedotova / 1972 / The inverse boundary value problem on the half-axis for a second order equation / Izv. Vysˇs. Uˇcebn. Zaved. Matematika 122 (7) : 75
H. Menken H / 2006 / On the inverse problem of the scattering theory for a boundary-value problem, Geometry / integrability and quantization : 226 ~ 236
B. M. Levitan / 1987 / Inverse Sturm-Liouville problems, Translated from the Russian / VSP
C. T. Fulton / 1981 / Singular eigenvalue problems with eigenvalue parameter contained in the boundary conditions / Proc. Roy. Soc. Edinburgh Sect. A 87 (1) : 1 ~ 34
E. A. Poˇchˇeykina-Fedotova / 1972 / The inverse boundary value problem on the half-axis for a second order equation / Izv. Vysˇs. Uˇcebn. Zaved. Matematika 122 (7) : 75
H. Menken H / 2006 / On the inverse problem of the scattering theory for a boundary-value problem, Geometry / integrability and quantization : 226 ~ 236
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