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- Title
Inverse spectral problem for differential operator pencils on noncompact spatial networks.
- Authors
Yurko, V.
- Abstract
We study boundary value problems on noncompact cycle-free graphs (i.e., trees) for second-order ordinary differential equations with a nonlinear dependence on the spectral parameter. We establish properties of the spectrum and analyze the inverse problem of reconstructing the coefficients of a differential equation on the basis of the so-called Weyl functions. For this inverse problem, we prove a uniqueness theorem and obtain a procedure for constructing the solution by the method of spectral mapping.
- Subjects
SPECTRAL theory; NUMERICAL solutions to boundary value problems; NUMERICAL solutions to differential equations; WEYL theory of boundary value problems; TREE graphs
- Publication
Differential Equations, 2008, Vol 44, Issue 12, p1721
- ISSN
0012-2661
- Publication type
Article
- DOI
10.1134/S0012266108120082