E. N. Akhmedova, I. M. Huseynov, “On inverse problem for Sturm–Liouville operator with discontinuous coefficients”, Izv. Saratov Univ. Math. Mech. Inform., 2010, Volume 10, Issue 1,Pages <nobr>3

This article is cited in 9 papers

Mathematics

On inverse problem for Sturm–Liouville operator with discontinuous coefficients

E. N. Akhmedova^a, I. M. Huseynov^ba

^a Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Department of Functional Analysis
^b Baku State University, Chair of Applied Mathematics

Abstract: In the paper uniqueness of reconstruction of the Sturm–Liouville operator with discontinuous coefficients by spectral data is proved and algorithm of construction of the potential is provided.

Key words: inverse problem, Sturm–Liouville operator, eigenvalues.

UDC: 517.984

DOI: 10.18500/1816-9791-2010-10-1-3-9