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Inverse problems for Sturm–Liouville operators on bush-type graphs

V Yurko

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An inverse spectral problem is studied for second-order differential operators on bush-type graphs with a cycle and with standard matching conditions in internal vertices. A uniqueness theorem is proved, and a constructive procedure for the solution is provided.


PACS

02.30.Zz Inverse problems

02.10.Ox Combinatorics; graph theory

02.30.Hq Ordinary differential equations

MSC

34B24 Sturm-Liouville theory (See also 34Lxx)

34A55 Inverse problems

47E05 Ordinary differential operators (See also 34Bxx, 34Lxx)

Subjects

Mathematical physics

Dates

Issue 10 (October 2009)

Received 2 March 2009, in final form 10 August 2009

Published 16 September 2009



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