Inverse scattering problem for Sturm-Liouville operator on one-vertex noncompact graph with a cycle

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Published: Aug 24, 2011
DOI: https://doi.org/10.5556/j.tkjm.42.2011.913
Keywords:
Sturm-Liouville operators noncompact graph graph with a cycle scattering

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Mikhail Ignatiev
Department of Mathematics, Saratov University

Abstract

A scattering problem is studied for second-order differential operator on one-vertex noncompact graph with a cycle and with standard matching conditions in the vertex. A uniqueness theorem for a corresponding inverse problem is proved and a procedure for solving the problem is provided.

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How to Cite
Ignatiev, M. (2011). Inverse scattering problem for Sturm-Liouville operator on one-vertex noncompact graph with a cycle. Tamkang Journal of Mathematics, 42(3), 365–384. https://doi.org/10.5556/j.tkjm.42.2011.913
Issue
Vol. 42 No. 3 (2011)
Section
Special Issue

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