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Eigenparameter Dependent Inverse Sturm-Liouville Problems |
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PP: 211-225 |
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Author(s) |
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T. A. Nofal,
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Abstract |
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| The author studies the inverse scattering problem for a boundary value problem of
a generalized one dimensional Schršodinger 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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