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Translated under the title Spetsial'nye funktsii
- Publisher
- Springer Journals
- Copyright
- Copyright © 2015 by Pleiades Publishing, Ltd.
- Subject
- Mathematics; Ordinary Differential Equations; Partial Differential Equations; Difference and Functional Equations
- ISSN
- 0012-2661
- eISSN
- 1608-3083
- DOI
- 10.1134/S0012266115010036
- Publisher site
- See Article on Publisher Site
Abstract
We study the inverse spectral problem on the half-line for the Sturm-Liouville operator with periodic potential. We derive a formula expressing the boundary condition via the spectral data and an analog of Dubrovin’s system of differential equations and present an algorithm for constructing the potential.
Journal
Differential Equations – Springer Journals
Published: Feb 14, 2015