Communications in Mathematical Analysis
- Commun. Math. Anal.
- Volume 17, Number 2 (2014), 98-107.
An Inverse Problem for Differential Operators on Hedgehog-type Graphs with General Matching Conditions
An inverse spectral problem is studied for Sturm-Liouville differential operators on hedgehog-type graphs with generalized matching conditions in the interior vertices and with Dirichlet boundary conditions in the boundary vertices. A uniqueness theorem of recovering potentials from given spectral characteristics is provided, and a constructive solution for the inverse problem is obtained.
Commun. Math. Anal., Volume 17, Number 2 (2014), 98-107.
First available in Project Euclid: 18 December 2014
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 34A55: Inverse problems 34B07: Linear boundary value problems with nonlinear dependence on the spectral parameter 34B45: Boundary value problems on graphs and networks 47E05: Ordinary differential operators [See also 34Bxx, 34Lxx] (should also be assigned at least one other classification number in section 47)
Choque Rivero, A.; Karlovich, Yu. I.; Yurko, V. A. An Inverse Problem for Differential Operators on Hedgehog-type Graphs with General Matching Conditions. Commun. Math. Anal. 17 (2014), no. 2, 98--107. https://projecteuclid.org/euclid.cma/1418919758