Inverse spectral problems for Sturm–Liouville operators on graphs

Vjacheslav Yurko

Type: Article

Publication Date: 2005-04-29

Citations: 163

DOI: https://doi.org/10.1088/0266-5611/21/3/017

View Publication

Locations

Inverse Problems - View

Similar Works

Action	Title	Year	Authors
+	Recovering differential pencils on compact graphs	2007	Vjacheslav Yurko
+	Inverse problems for differential operators on trees with general matching conditions	2007	Gerhard Freiling Vjacheslav Yurko
+	Inverse spectral problems for differential operators on arbitrary compact graphs	2010	Vjacheslav Yurko
+	An inverse spectral problem for Sturm-Liouville operators with singular potentials on arbitrary compact graphs	2019	Sergey Vasiliev
+	An Inverse Spectral Problem for Sturm – Liouville Operators with Singular Potentials on Graphs with a Cycle	2019	Sergey Vasilev
+ PDF Chat	Partial inverse problems for Sturm–Liouville operators on trees	2017	Natalia P. Bondarenko Chung‐Tsun Shieh
+	Partial inverse problems for Sturm-Liouville operators on trees	2015	Natalia P. Bondarenko Chung‐Tsun Shieh
+	Partial inverse problems for Sturm-Liouville operators on trees	2015	Natalia P. Bondarenko Chung‐Tsun Shieh
+	An inverse problem for higher order differential operators on star-type graphs	2007	Vjacheslav Yurko
+	Inverse Spectral Problems for Sturm-Liouville Operators on Hedgehog-type Graphs with General Matching Conditions	2015	Vjacheslav Yurko
+	Inverse Spectral Problems for Sturm-Liouville Operators on Hedgehog-type Graphs with General Matching Conditions	2015	Vjacheslav Yurko
+	Recovering Sturm-Liouville operators from spectra on a graph with a cycle	2009	Vjacheslav Yurko
+	Inverse spectral problems for arbitrary order differential operators on noncompact trees	2012	Vjacheslav Yurko
+ PDF Chat	Inverse spectral problems for differential operators on a graph with a rooted cycle	2009	Vjacheslav Yurko
+ PDF Chat	Inverse problems on star-type graphs: differential operators of different orders on different edges	2013	Vjacheslav Yurko
+ PDF Chat	Inverse problems for Sturm-Liouville operators on graphs with a cycle	2008	Vjacheslav Yurko
+	Inverse problems for variable order differential operators with regular singularities on graphs	2015	Vjacheslav Yurko
+ PDF Chat	Inverse problems for higher order differential systems with regular singularities on star-type graphs	2015	Vjacheslav Yurko
+	Inverse problems for Bessel-type differential equations on noncompact graphs using spectral data	2011	Vjacheslav Yurko
+	Inverse scattering problem for Sturm-Liouville operator on non-compact A-graph. Uniqueness result	2013	Mikhail V. Ignatyev

Works That Cite This (159)

Action	Title	Year	Authors
+	On Inverse Problems for Finite Trees	2008	B. M. Brown Rudi Weikard
+ PDF Chat	On Recovering Sturm–Liouville-Type Operators with Global Delay on Graphs from Two Spectra	2023	Sergey Buterin
+	Inverse scattering on the quantum graph -- Edge model for graphen	2019	Kazunori Ando Hiroshi Isozaki Evgeny Korotyaev Hisashi Morioka
+	Inverse problems for Sturm–Liouville operators on a star-shaped graph with mixed spectral data	2019	Yu Ping Wang Chung‐Tsun Shieh
+	Inverse Problems for Sturm–Liouville Operators on Noncompact Trees	2007	Gerhard Freiling Vjacheslav Yurko
+	Uniqueness of Recovering Sturm–Liouville Operators on A-graphs from Spectra	2009	Vjacheslav Yurko
+	Spectral asymptotics and regularized traces for Dirac operators on a star-shaped graph	2011	Chuan‐Fu Yang Zhen-You Huang
+	Inverse scattering problem for Sturm-Liouville operator on non-compact A-graph. Uniqueness result	2013	Mikhail Ignatyev
+ PDF Chat	Inverse scattering problem for Sturm-Liouville operator on one-vertex noncompact graph with a cycle	2011	M. Yu. Ignatiev
+	Reconstruction of Sturm-Liouville differential operators on A-graphs	2011	Vjacheslav Yurko

Works Cited by This (32)

Action	Title	Year	Authors
+	Linear differential operators	1967	M. A. Naĭmark
+	Inverse Sturm-Liouville problems and their applications	2001	Gerhard Freiling Vjacheslav Yurko
+	An Introduction to Inverse Scattering and Inverse Spectral Problems	1997	Khosrow Chadan David Colton Lassi Païvärinta William Rundell
+	Inverse Sturm-Liouville Problems	1987	B. M. Levitan
+ PDF Chat	Inverse eigenvalue problems on directed graphs	1999	Robert Carlson
+ PDF Chat	Uniqueness theorems in inverse spectral theory for one-dimensional Schrödinger operators	1996	Fritz Gesztesy Barry Simon
+	Some results on spectral theory over networks, applied to nerve impulse transmission	1985	Serge Nicaise
+	Sturm‐Liouville eigenvalue problems on networks	1988	Joachim von Below
+	Inverse eigenvalue problem for a vibration of a string with viscous drag	1990	Masahiro Yamamoto
+ PDF Chat	SCHRÖDINGER OPERATORS ON HOMOGENEOUS METRIC TREES: SPECTRUM IN GAPS	2002	Alexander V. Sobolev Michael Solomyak