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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
Institution: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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