Recovery of the m-function from spectral data for generalized Sturm–Liouville problems
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摘要
The Sturm–Liouville problem −y″+qy=λy, y(0)cosα=y′(0)sinα, (y′/y)(1)=h(λ)/g(λ) is studied, where h and g are real polynomials. Generalized norming constants ρnk associated with eigenvalues Λn are defined and formulae are given for recovering the m-function from these constants. This leads to a uniqueness theorem for the associated inverse problem.
论文关键词：34B25,46D05,47E05,Sturm–Liouville,Eigenparameter-dependent boundary conditions
论文评审过程：Received 28 January 2003, Revised 28 June 2003, Available online 19 March 2004.
论文官网地址：https://doi.org/10.1016/j.cam.2004.01.005
