A uniqueness theorem for inverse nodal problem

Hikmet Koyunbakan, Etibar S. Panakhov

Type: Article

Publication Date: 2006-02-14

Citations: 18

DOI: https://doi.org/10.1080/00423110500523143

Abstract

In this article, it is found that the asymptotic formulas for nodal points and nodal length for the differential operators having singularity type at the points 0 and π, it is shown that the potential function can be determined from the positions of the nodes for the eigenfunctions.

Locations

Inverse Problems in Science and Engineering - View - PDF

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+	Inverse Problems in Quantum Scattering Theory	1977	Khosrow Chadan Pierre Sabatier
+	An Introduction to Inverse Scattering and Inverse Spectral Problems	1997	Khosrow Chadan David Colton Lassi Païvärinta William Rundell
+ PDF Chat	$L^1$ convergence of the reconstruction formula for the potential function	2002	Ya-Ting Chen Yan-Hsiou Cheng Chun‐Kong Law Jhishen Tsay
+	Inverse Sturm-Liouville Problems	1987	B. M. Levitan
+	The inverse sturm‐liouville problem	1973	Harry Hochstadt
+	The inverse Sturm–Liouville problem. II	1984	Eli L. Isaacson H. P. McKean Eugene Trubowitz
+	Reconstruction of a Radially Symmetric Potential from Two Spectral Sequences	2001	William Rundell Paul Sacks
+	Introduction to spectral theory: selfadjoint ordinary differential operators	1975	B. M. Levitan I. Sargsjan
+	Remarks on a New Inverse Nodal Problem	2000	Yan-Hsiou Cheng Chun‐Kong Law Jhishen Tsay
+	A solution of the inverse nodal problem	1997	Xue-Feng Yang