Inverse problems for Sturm-Liouville equations with boundary conditions linearly dependent on the spectral parameter from partial information

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Title:	Inverse problems for Sturm-Liouville equations with boundary conditions linearly dependent on the spectral parameter from partial information
Authors:	Ping, Wang-Yu;Shieh, Chung-Tsun
Contributors:	數學學系暨研究所
Keywords:	Inverse spectral problem;Sturm–Liouville equation;boundary condition;potential;spectrum
Date:	2014-02-01
Issue Date:	2014-07-18 10:55:06 (UTC+8)
Publisher:	Springer
Abstract:	Abstract.In this paper, we study the inverse spectral problems for Sturm–Liouville equations with boundary conditions linearly dependent on the spectral parameter and show that the potential of such problem can be uniquely determined from partial information on the potential and parts of two spectra, or alternatively, from partial information on the potential and a subset of pairs of eigenvalues and the normalization constants of the corresponding eigenvalues.
Relation:	Results in Mathematics 65(1), pp.105–119
DOI:	10.1007/s00025-013-0333-7
Appears in Collections:	[Graduate Institute & Department of Mathematics] Journal Article

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