Eigenparameter Dependent Inverse Sturm-Liouville Problems
نویسنده
چکیده
The author studies the inverse scattering problem for a boundary value problem of a generalized one dimensional Schrödinger type with a discontinuous coefficient and eigenparameter dependent boundary condition. The solutions of the considered eigenvalue equation is presented and its scattering function that satisfies some properties is induced. The discrete spectrum is studied and the resolvent of the considered problem is given. The scattering data are determined and hence the inverse scattering problem is formulated and completely solved.
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