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arxiv: 1506.02195 · v1 · pith:AU7CC7JWnew · submitted 2015-06-06 · 🧮 math.SP

Direct and inverse scattering on noncompact star-type quantum graph with Bessel singularity

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keywords graphinversenoncompactscatteringstar-typebesselconditionsconstructive
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In this paper we study the noncompact star-type graph with perturbed radial Schrodinger equation on each ray and the matching conditions of some special form at the vertex. The results include the uniqueness theorem and constructive procedure for solution of the inverse scattering problem.

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