Partial inverse problems for quadratic differential pencils on a graph with a loop

Partial inverse problems for quadratic differential pencils on a graph with a loop AbstractIn this paper, partial inverse problems for the quadratic pencil of Sturm–Liouville operators on a graph with a loop are studied.These problems consist in recovering the pencil coefficients on one edge of the graph(a boundary edge or the loop) from spectral characteristics, while the coefficients on the other edges are known a priori.We obtain uniqueness theorems and constructive solutions for partial inverse problems. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Inverse and III-posed Problems de Gruyter

Partial inverse problems for quadratic differential pencils on a graph with a loop

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Publisher
de Gruyter
Copyright
© 2020 Walter de Gruyter GmbH, Berlin/Boston
ISSN
1569-3945
eISSN
1569-3945
DOI
10.1515/jiip-2018-0104
Publisher site
See Article on Publisher Site

Abstract

AbstractIn this paper, partial inverse problems for the quadratic pencil of Sturm–Liouville operators on a graph with a loop are studied.These problems consist in recovering the pencil coefficients on one edge of the graph(a boundary edge or the loop) from spectral characteristics, while the coefficients on the other edges are known a priori.We obtain uniqueness theorems and constructive solutions for partial inverse problems.

Journal

Journal of Inverse and III-posed Problemsde Gruyter

Published: Jun 1, 2020

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