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Inverse problems for Sturm–Liouville operators with interior discontinuities and boundary conditions dependent on the spectral parameter
Authors:Yu Ping Wang
Affiliation:Department of Applied Mathematics, Nanjing Forestry University, , Nanjing, 210037 Jiangsu, China
Abstract:In this paper, we discuss the inverse problem for Sturm–Liouville operators with arbitrary number of interior discontinuities and boundary conditions having fractional linear function of spectral parameter on the finite interval [0,1]. Using Weyl function techniques, we establish some uniqueness theorems for the Sturm–Liouville operator. Copyright © 2012 John Wiley & Sons, Ltd.
Keywords:Sturm–  Liouville operator  inverse problem  interior discontinuities  boundary condition dependent on the spectral parameter  spectrum
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