On the main equation of inverse sturm-liouville operator with discontinuous coefficient

2015/08/26 by Mamedov, Khanlar R., Karahan, Done
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1508.06626

Abstract

In this work, a boundary value problem for Sturm-Liouville operator with discontinuous coefficient is examined. The main equation is obtained which has an important role in solution of inverse problem for boundary value problem and uniqueness of its solution is proved. Uniqueness theorem for the solution of the inverse problem is given.

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