Remarks on a new inverse nodal problem
type: Item
instance of: scholarly article
title: Remarks on a new inverse nodal problem
zbMATH Open document ID: 0960.34018
author: Yan-Hsiou Cheng
author: Jhishen Tsay
author: Chun-Kong Law
published in: Journal of Mathematical Analysis and Applications
publication date: 2001-05-09T00:00:00Z
review text: The authors weaken the conditions and simplify the proof of a theorem of \textit{X. F. Yang} [A new inverse nodal problem, J. Differ. Equations (to appear)]. It is known that the usual nodal inverse problem developed by \textit{J. R. McLaughlin} [J. Differ. Equations, 73, No. 2, 354-362 (1988; Zbl 0652.34029)] is overdetermined. That makes possible to reduce the data sufficient to determine the potential of the Sturm-Liouville equation and the boundary conditions. The authors use the results of \textit{F. Gesztesy} and \textit{B. Simon} [Inverse spectral analysis with partial information on the potential, II, The case of discrete spectrum, Trans. Am. Math. Soc. 352, No. 6, 2765-2787 (2000)].
Mathematics Subject Classification ID: 34B24
Mathematics Subject Classification ID: 34A55
zbMATH DE Number: 1506524
zbMATH Keywords: nodal inverse problem
zbMATH Keywords: nodal length
zbMATH Keywords: Sturm-Liouville problem
zbMATH Keywords: Borg's theorem
reviewed by: V. Pivovarchik
MaRDI profile type: Publication
full work available at URL: jmaa.2000.6878
OpenAlex ID: W2027093679
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DOI: 10.1006/JMAA.2000.6878
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description: scientific article; zbMATH DE number 1506524