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Inverse spectral problems for arbitrary order differential operators on noncompact trees
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Vjacheslav Anatoljevich Yurko
Published/Copyright:
March 6, 2012
Abstract.
We study inverse spectral problems for arbitrary order ordinary differential equations on noncompact trees. As the main spectral characteristics we introduce and investigate the so-called Weyl matrices which are a generalization of the Weyl function for the classical Sturm–Liouville operator. We provide a procedure for constructing the solution of the inverse problem from the Weyl matrices and prove its uniqueness.
Received: 2011-08-30
Published Online: 2012-03-06
Published in Print: 2012-March
© 2012 by Walter de Gruyter Berlin Boston
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Articles in the same Issue
- Masthead
- A Monte Carlo based analysis of optimal design criteria
- Analysis of ill-posedness and numerical methods of solving a nonlinear inverse problem in pharmacokinetics for the two-compartmental model with extravascular drug administration
- Identification problems in Banach spaces for linear first-order partial differential equations in one space dimension and applications
- Inverse problem of determining absorption coefficient in the wave equation by BC method
- Inverse spectral problems for arbitrary order differential operators on noncompact trees
- Fourth International Scientific School–Conference for Young Scientists “Theory and Computational Methods for Inverse and Ill-Posed Problems”
- International Conference “Inverse and Ill-Posed Problems of Mathematical Physics” dedicated to the 80th birthday of Academician M. M. Lavrentiev
