Natalia P. Bondarenko

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All published works

Action	Title	Year	Authors
+ PDF Chat	Inverse Sturm–Liouville problem with polynomials in the boundary condition and multiple eigenvalues	2025	Egor E. Chitorkin Natalia P. Bondarenko
+	Inverse Sturm-Liouville problem with singular potential and spectral parameter in the boundary conditions	2025	Egor E. Chitorkin Natalia P. Bondarenko
+ PDF Chat	Borg-type theorem for a class of fourth-order differential operators	2024	Ai-Wei Guan Chuan‐Fu Yang Natalia P. Bondarenko
+	McLaughlin’s Inverse Problem for the Fourth-Order Differential Operator	2024	Natalia P. Bondarenko
+	Comment on the Paper “Direct and Inverse Problems for a Third Order Self-Adjoint Differential Operator with Periodic Boundary Conditions and Nonlocal Potential” by Yixuan Liu and Jun Yan (Results Math., 2024, 79:21)	2024	Natalia P. Bondarenko
+ PDF Chat	Solving Barcilon's inverse problems by the method of spectral mappings	2024	Ai-Wei Guan Chuan‐Fu Yang Natalia P. Bondarenko
+ PDF Chat	Uniform stability for the Hochstadt-Lieberman problem	2024	Natalia P. Bondarenko
+ PDF Chat	Uniform stability of the inverse problem for the non-self-adjoint Sturm-Liouville operator	2024	Natalia P. Bondarenko
+ PDF Chat	Synthesis of the Weyl matrix on the square lattice	2024	D yu Wu Chuan‐Fu Yang Natalia P. Bondarenko
+ PDF Chat	Addendum to: Solving an inverse problem for the Sturm-Liouville operator with singular potential by Yurko's method (Tamkang J. Math. 52 (2021), no. 1, 125-154)	2024	M. A. Kuznetsova Natalia P. Bondarenko
+	Comment on the paper "Direct and inverse problems for a third order self-adjoint differential operator with periodic boundary conditions and nonlocal potential"	2024	Natalia P. Bondarenko
+	Counterexample to Barcilon’s Uniqueness Theorem for the Fourth-Order Inverse Spectral Problem	2024	Natalia P. Bondarenko
+ PDF Chat	On the local solvability and stability of the partial inverse problems for the non-self-adjoint Sturm-Liouville operators with a discontinuity	2024	Xiao‐Chuan Xu Chuan‐Fu Yang Natalia P. Bondarenko
+ PDF Chat	Local solvability and stability for the inverse Sturm‐Liouville problem with polynomials in the boundary conditions	2024	Egor E. Chitorkin Natalia P. Bondarenko
+	Traces for Sturm–Liouville Operators on a Caterpillar Graph	2024	Feng Wang Chuan‐Fu Yang Natalia P. Bondarenko
+ PDF Chat	Inverse spectral problem for the Schrödinger operator on the square lattice	2024	D yu Wu Chuan‐Fu Yang Natalia P. Bondarenko
+ PDF Chat	A class of higher order inverse spectral problems	2024	Ai-Wei Guan Chuan‐Fu Yang Natalia P. Bondarenko
+	Spectral Data Asymptotics for Fourth-Order Boundary Value Problems	2024	Natalia P. Bondarenko
+ PDF Chat	Necessary and Sufficient Conditions for Solvability of an Inverse Problem for Higher-Order Differential Operators	2023	Natalia P. Bondarenko
+	Solving the inverse Sturm–Liouville problem with singular potential and with polynomials in the boundary conditions	2023	Egor E. Chitorkin Natalia P. Bondarenko
+ PDF Chat	Local Solvability and Stability of an Inverse Spectral Problem for Higher-Order Differential Operators	2023	Natalia P. Bondarenko
+ PDF Chat	Regularization and Inverse Spectral Problems for Differential Operators with Distribution Coefficients	2023	Natalia P. Bondarenko
+ PDF Chat	Inverse Spectral Problem for the Third-Order Differential Equation	2023	Natalia P. Bondarenko
+ PDF Chat	Partial Inverse Sturm-Liouville Problems	2023	Natalia P. Bondarenko
+ PDF Chat	Local solvability and stability of the generalized inverse Robin–Regge problem with complex coefficients	2023	Xiao‐Chuan Xu Natalia P. Bondarenko
+ PDF Chat	Inverse Sturm–Liouville Problem with Spectral Parameter in the Boundary Conditions	2023	Natalia P. Bondarenko Egor E. Chitorkin
+	Inverse spectral problem for the third-order differential equation	2023	Natalia P. Bondarenko
+	Solving Barcilon's inverse problems by the method of spectral mappings	2023	Ai-Wei Guan Chuan‐Fu Yang Natalia P. Bondarenko
+	Solving the inverse Sturm-Liouville problem with singular potential and with polynomials in the boundary conditions	2023	Egor E. Chitorkin Natalia P. Bondarenko
+	Inverse spectral problem for the Schrödinger operator on the square lattice	2023	D yu Wu Chuan‐Fu Yang Natalia P. Bondarenko
+	Regularization and inverse spectral problems for differential operators with distribution coefficients	2023	Natalia P. Bondarenko
+	Local solvability and stability of an inverse spectral problem for higher-order differential operators	2023	Natalia P. Bondarenko
+	Local solvability and stability for the inverse Sturm-Liouville problem with polynomials in the boundary conditions	2023	Egor E. Chitorkin Natalia P. Bondarenko
+	Spectral data asymptotics for fourth-order boundary value problems	2023	Natalia P. Bondarenko
+	Necessary and sufficient conditions for solvability of an inverse problem for higher-order differential operators	2023	Natalia P. Bondarenko
+	McLaughlin's inverse problem for the fourth-order differential operator	2023	Natalia P. Bondarenko
+ PDF Chat	Linear differential operators with distribution coefficients of various singularity orders	2022	Natalia P. Bondarenko
+ PDF Chat	Inverse problem for a differential operator on a star-shaped graph with nonlocal matching condition	2022	Natalia P. Bondarenko
+ PDF Chat	Reconstruction of Higher-Order Differential Operators by Their Spectral Data	2022	Natalia P. Bondarenko
+	Inverse spectral problems for radial Schrödinger operators and closed systems	2022	Xin-Jian Xu Chuan‐Fu Yang Natalia P. Bondarenko
+ PDF Chat	SPECTRAL DATA ASYMPTOTICS FOR THE HIGHER-ORDER DIFFERENTIAL OPERATORS WITH DISTRIBUTION COEFFICIENTS	2022	Natalia P. Bondarenko
+	Stability of the inverse scattering problem for the self‐adjoint matrix Schrödinger operator on the half line	2022	Xiao‐Chuan Xu Natalia P. Bondarenko
+	On the Local Solvability and Stability for the Inverse Spectral Problem of the Generalized Dirichlet—Regge Problem	2022	Xiao Chuan Xu Natalia P. Bondarenko
+ PDF Chat	Inverse spectral problems for functional-differential operators with involution	2022	Natalia P. Bondarenko
+	Inverse problem for a differential operator on a star-shaped graph with nonlocal matching condition	2022	Natalia P. Bondarenko
+	Linear differential operators with distribution coefficients of various singularity orders	2022	Natalia P. Bondarenko
+	Spectral data asymptotics for the higher-order differential operators with distribution coefficients	2022	Natalia P. Bondarenko
+	Reconstruction of higher-order differential operators by their spectral data	2022	Natalia P. Bondarenko
+ PDF Chat	A new approach to the inverse discrete transmission eigenvalue problem	2021	Natalia P. Bondarenko Vjacheslav Yurko
+ PDF Chat	Inverse Spectral Problems for Arbitrary-Order Differential Operators with Distribution Coefficients	2021	Natalia P. Bondarenko
+ PDF Chat	Solvability and Stability of the Inverse Problem for the Quadratic Differential Pencil	2021	Natalia P. Bondarenko Andrey Gaidel
+ PDF Chat	Finite-difference approximation of the inverse Sturm–Liouville problem with frozen argument	2021	Natalia P. Bondarenko
+	Finite-difference approximation of the inverse Sturm-Liouville problem with frozen argument.	2021	Natalia P. Bondarenko
+ PDF Chat	Inverse problem solution and spectral data characterization for the matrix Sturm–Liouville operator with singular potential	2021	Natalia P. Bondarenko
+	Finite-difference approximation of the inverse Sturm-Liouville problem with frozen argument: numerical examples	2021	Natalia P. Bondarenko
+	Inverse spectral problems for Bessel operators with interior transmission conditions	2021	Xin-Jian Xu Natalia P. Bondarenko Chuan‐Fu Yang
+ PDF Chat	Solvability and stability of the inverse Sturm–Liouville problem with analytical functions in the boundary condition	2021	Natalia P. Bondarenko
+	Solvability and stability of the inverse problem for the quadratic differential pencil	2021	Natalia P. Bondarenko Andrey Gaidel
+ PDF Chat	Correction to: Solvability and stability of the inverse Sturm-Liouville problem with analytical functions in the boundary condition (Math. Meth. Appl. Sci. 43 (2020), no. 11, 7009-7021)	2021	Natalia P. Bondarenko
+	A partial inverse Sturm‐Liouville problem on an arbitrary graph	2021	Natalia P. Bondarenko
+	Inverse spectral problems for the Dirac operator with complex-valued weight and discontinuity	2021	Ran Zhang Chuan‐Fu Yang Natalia P. Bondarenko
+	Constructive solution of the inverse problem for the matrix Sturm-Liouville operator	2021	Natalia P. Bondarenko
+	A new approach to the inverse discrete transmission eigenvalue problem	2021	Natalia P. Bondarenko Vjacheslav Yurko
+	Finite-difference approximation of the inverse Sturm-Liouville problem with frozen argument	2021	Natalia P. Bondarenko
+	Inverse spectral problems for functional-differential operators with involution	2021	Natalia P. Bondarenko
+	Solvability and stability of the inverse problem for the quadratic differential pencil	2021	Natalia P. Bondarenko Andrey Gaidel
+	Local solvability and stability of the generalized inverse Robin-Regge problem with complex coefficients	2021	Xiaochuan Xu Natalia P. Bondarenko
+ PDF Chat	Reconstruction and solvability for discontinuous Hochstadt–Lieberman problems	2020	Chuan‐Fu Yang Natalia P. Bondarenko
+ PDF Chat	Spectral data characterization for the Sturm–Liouville operator on the star-shaped graph	2020	Natalia P. Bondarenko
+ PDF Chat	Solving An Inverse Problem For The Sturm-Liouville Operator With A Singular Potential By Yurko's Method	2020	Natalia P. Bondarenko
+	Spectral data characterization for the Sturm-Liouville operator on the star-shaped graph	2020	Natalia P. Bondarenko
+	Solvability of an inverse problem for discontinuous Sturm–Liouville operators	2020	Ran Zhang Natalia P. Bondarenko Chuan Yang
+	Inverse problem solution and spectral data characterization for the matrix Sturm-Liouville operator with singular potential	2020	Natalia P. Bondarenko
+ PDF Chat	Local solvability and stability of the inverse problem for the non-self-adjoint Sturm–Liouville operator	2020	Natalia P. Bondarenko
+	Direct and inverse problems for the matrix Sturm-Liouville operator with the general self-adjoint boundary conditions	2020	Natalia P. Bondarenko
+	On the Hochstadt–Lieberman type problem with eigenparameter dependent boundary condition	2020	Sheng-Yu Guan Chuan‐Fu Yang Natalia P. Bondarenko Xiao‐Chuan Xu Yi-Teng Hu
+ PDF Chat	Partial inverse problems for quadratic differential pencils on a graph with a loop	2020	Natalia P. Bondarenko Chung‐Tsun Shieh
+	Numerical solution and stability of the inverse spectral problem for a convolution integro-differential operator	2020	Natalia P. Bondarenko Sergey Buterin
+	Solving an inverse problem for the Sturm-Liouville operator with a singular potential by Yurko's method	2020	Natalia P. Bondarenko
+	Solvability and stability of the inverse Sturm–Liouville problem with analytical functions in the boundary condition	2020	Natalia P. Bondarenko
+	The inverse problem for differential pencils on a star-shaped graph with mixed spectral data	2020	Yu Ping Wang Natalia P. Bondarenko Chung‐Tsun Shieh
+ PDF Chat	Constructive solution of the inverse spectral problem for the matrix Sturm–Liouville operator	2020	Natalia P. Bondarenko
+	Constructive solution of the inverse spectral problem for the matrix Sturm-Liouville operator	2020	Natalia P. Bondarenko
+	Local solvability and stability of the inverse problem for the non-self-adjoint Sturm-Liouville operator	2020	Natalia P. Bondarenko
+ PDF Chat	Inverse Sturm-Liouville problem with analytical functions in the boundary condition	2020	Natalia P. Bondarenko
+	Constructive solution of the inverse spectral problem for the matrix Sturm-Liouville operator	2020	Natalia P. Bondarenko
+	Spectral data characterization for the Sturm-Liouville operator on the star-shaped graph	2020	Natalia P. Bondarenko
+	Inverse problem solution and spectral data characterization for the matrix Sturm-Liouville operator with singular potential	2020	Natalia P. Bondarenko
+	Direct and inverse problems for the matrix Sturm-Liouville operator with the general self-adjoint boundary conditions	2020	Natalia P. Bondarenko
+	Solving an inverse problem for the Sturm-Liouville operator with a singular potential by Yurko's method	2020	Natalia P. Bondarenko
+	Local solvability and stability of the inverse problem for the non-self-adjoint Sturm-Liouville operator	2020	Natalia P. Bondarenko
+ PDF Chat	An inverse problem for the Sturm-Liouville pencil with arbitrary entire functions in the boundary condition	2019	Chuan‐Fu Yang Natalia P. Bondarenko Xiao‐Chuan Xu
+	Inverse problems of recovering first-order integro-differential operators from spectra	2019	Natalia P. Bondarenko Vjacheslav Yurko
+	Local solvability and stability of inverse problems for Sturm-Liouville operators with a discontinuity	2019	Chuan‐Fu Yang Natalia P. Bondarenko
+ PDF Chat	Spectral analysis of the matrix Sturm–Liouville operator	2019	Natalia P. Bondarenko
+	Spectral analysis of the Sturm‐Liouville operator on the star‐shaped graph	2019	Natalia P. Bondarenko
+	Traces and inverse nodal problem for Sturm–Liouville operators with frozen argument	2019	Yi-Teng Hu Natalia P. Bondarenko Chuan‐Fu Yang
+	Determination of the impulsive Sturm–Liouville operator from a set of eigenvalues	2019	Ran Zhang Xiao‐Chuan Xu Chuan‐Fu Yang Natalia P. Bondarenko
+	An inverse problem for the second-order integro-differential pencil	2019	Natalia P. Bondarenko
+	Traces and inverse nodal problems for Dirac-type integro-differential operators on a graph	2019	Yi-Teng Hu Natalia P. Bondarenko Chung‐Tsun Shieh Chuan‐Fu Yang
+	An Inverse Problem for an Integro-Differential Equation with a Convolution Kernel Dependent on the Spectral Parameter	2019	Natalia P. Bondarenko
+	An inverse problem for an integro-differential pencil with polynomial eigenparameter-dependence in the boundary condition	2019	Natalia P. Bondarenko
+	A partial inverse problem for the Dirac system with an integral delay	2019	Natalia P. Bondarenko
+ PDF Chat	An inverse problem for Sturm‐Liouville operators on trees with partial information given on the potentials	2019	Natalia P. Bondarenko
+	Reconstruction and Solvability for Discontinuous Hochstadt-Lieberman Problems	2019	Chuan‐Fu Yang Natalia P. Bondarenko
+	Local solvability and stability of inverse problems for Sturm-Liouville operators with a discontinuity	2019	Chuan‐Fu Yang Natalia P. Bondarenko
+	Spectral data asymptotics for the matrix Sturm-Liouville operator	2019	Natalia P. Bondarenko
+	Inverse problems of recovering first-order integro-differential operators from spectra	2019	Natalia P. Bondarenko Vjacheslav Yurko
+ PDF Chat	A partial inverse problem for the Sturm-Liouville operator on the lasso-graph	2018	Chuan‐Fu Yang Natalia P. Bondarenko
+	An inverse spectral problem for Sturm–Liouville operators with frozen argument	2018	Natalia P. Bondarenko Sergey Buterin Sergey Vasiliev
+	Partial inverse problems for the Sturm‐Liouville equation with deviating argument	2018	Natalia P. Bondarenko Vjacheslav Yurko
+	An inverse spectral problem for integro-differential Dirac operators with general convolution kernels	2018	Natalia P. Bondarenko Sergey Buterin
+	Inverse problem for the differential pencil on an arbitrary graph with partial information given on the coefficients	2018	Natalia P. Bondarenko
+ PDF Chat	An inverse problem for the integro-differential Dirac system with partial information given on the convolution kernel	2018	Natalia P. Bondarenko
+	Partial inverse problems for quadratic differential pencils on a graph with a loop	2018	Natalia P. Bondarenko Chung‐Tsun Shieh
+	An inverse problem for Sturm–Liouville differential operators with deviating argument	2018	Natalia P. Bondarenko Vjacheslav Yurko
+ PDF Chat	An inverse problem for the non-self-adjoint matrix Sturm-Liouville operator	2018	Natalia P. Bondarenko
+	Partial Inverse Problems for the Sturm–Liouville Operator on a Star-Shaped Graph with Different Edge Lengths	2018	Natalia P. Bondarenko Chuan‐Fu Yang
+ PDF Chat	A 2-edge partial inverse problem for the Sturm-Liouville operators with singular potentials on a star-shaped graph	2018	Natalia P. Bondarenko
+	An inverse problem for the integro-differential Dirac system with partial information given on the convolution kernel	2018	Natalia P. Bondarenko
+	On recovering Sturm-Liouville differential operators with deviating argument	2018	Natalia P. Bondarenko Vjacheslav Yurko
+	On recovering Sturm-Liouville differential operators with deviating argument	2018	Natalia P. Bondarenko Vjacheslav Yurko
+	An inverse problem for the integro-differential Dirac system with partial information given on the convolution kernel	2018	Natalia P. Bondarenko
+	Partial inverse problems for quadratic differential pencils on a graph with a loop	2018	Natalia P. Bondarenko Chung‐Tsun Shieh
+	An inverse problem for an integro‐differential operator on a star‐shaped graph	2017	Natalia P. Bondarenko
+	An inverse problem for Sturm-Liouville operators on trees with partial information given on the potentials	2017	Natalia P. Bondarenko
+	On a local solvability and stability of the inverse transmission eigenvalue problem	2017	Natalia P. Bondarenko Sergey Buterin
+ PDF Chat	Partial inverse problems for Sturm–Liouville operators on trees	2017	Natalia P. Bondarenko Chung‐Tsun Shieh
+	A Partial Inverse Problem for the Differential Pencil on a Star-Shaped Graph	2017	Natalia P. Bondarenko
+ PDF Chat	A partial inverse problem for the Sturm–Liouville operator on a star-shaped graph	2017	Natalia P. Bondarenko
+	Inverse problems for the matrix Sturm–Liouville equation with a Bessel-type singularity	2017	Natalia P. Bondarenko
+	Partial inverse problems for the Sturm–Liouville operator on a star-shaped graph with mixed boundary conditions	2017	Natalia P. Bondarenko
+	A 2-edge partial inverse problem for the Sturm-Liouville operators with singular potentials on a star-shaped graph	2017	Natalia P. Bondarenko
+	A partial inverse problem for the Sturm-Liouville operator on the graph with a loop	2017	Chuan‐Fu Yang Natalia P. Bondarenko
+	A partial inverse problem for the Sturm-Liouville operator on a star-shaped graph	2017	Natalia P. Bondarenko
+	A partial inverse problem for the Sturm-Liouville operator on a star-shaped graph	2017	Natalia P. Bondarenko
+	An inverse problem for Sturm-Liouville operators on trees with partial information given on the potentials	2017	Natalia P. Bondarenko
+	A 2-edge partial inverse problem for the Sturm-Liouville operators with singular potentials on a star-shaped graph	2017	Natalia P. Bondarenko
+	Inverse scattering on the line for the matrix Sturm–Liouville equation	2016	Natalia P. Bondarenko
+	On Recovering the Dirac Operator with an Integral Delay from the Spectrum	2016	Natalia P. Bondarenko Sergey Buterin
+ PDF Chat	Matrix Sturm–Liouville equation with a Bessel-type singularity on a finite interval	2016	Natalia P. Bondarenko
+	Matrix Sturm-Liouville equation with a Bessel-type singularity on a finite interval	2016	Natalia P. Bondarenko
+	Matrix Sturm-Liouville equation with a Bessel-type singularity on a finite interval	2016	Natalia P. Bondarenko
+	Inverse scattering on the line for the matrix Sturm-Liouville equation	2015	Natalia P. Bondarenko
+ PDF Chat	Inverse problems for the differential operator on the graph with a cycle with different orders on different edges	2015	Natalia P. Bondarenko
+	Partial inverse problems for Sturm-Liouville operators on trees	2015	Natalia P. Bondarenko Chung‐Tsun Shieh
+ PDF Chat	Recovery of the matrix quadratic differential pencil from the spectral data	2015	Natalia P. Bondarenko
+ PDF Chat	An inverse spectral problem for the matrix Sturm-Liouville operator on the half-line	2015	Natalia P. Bondarenko
+ PDF Chat	An Inverse Spectral Problem for the Matrix Sturm-Liouville Operator with a Bessel-Type Singularity	2015	Natalia P. Bondarenko
+	Inverse scattering on the line for the matrix Sturm-Liouville equation	2015	Natalia P. Bondarenko
+	Partial inverse problems for Sturm-Liouville operators on trees	2015	Natalia P. Bondarenko Chung‐Tsun Shieh
+	An inverse spectral problem for the matrix Sturm-Liouville operator on the half-line	2014	Natalia P. Bondarenko
+ PDF Chat	Erratum to “Necessary and Sufficient Conditions for the Solvability of the Inverse Problem for the Matrix Sturm-Liouville Operator”	2014	Natalia P. Bondarenko
+	An inverse problem for the non-self-adjoint matrix Sturm-Liouville operator	2014	Natalia P. Bondarenko
+	An inverse spectral problem for the matrix Sturm-Liouville operator on the half-line	2014	Natalia P. Bondarenko
+	An inverse problem for the non-self-adjoint matrix Sturm-Liouville operator	2014	Natalia P. Bondarenko
+ PDF Chat	An inverse problem for the quadratic pencil of non-self-adjoint matrix operators on the half-line	2013	Natalia P. Bondarenko Gerhard Freiling
+	An inverse problem for the quadratic pencil of non-self-adjoint matrix operators on the half-line	2013	Natalia P. Bondarenko Gerhard Freiling
+	An inverse problem for the matrix quadratic pencil on a finite interval	2013	Natalia P. Bondarenko
+	An inverse problem for the differential operator on the graph with a cycle with different orders on different edges	2013	Natalia P. Bondarenko
+	An inverse problem for the quadratic pencil of non-self-adjoint matrix operators on the half-line	2013	Natalia P. Bondarenko Gerhard Freiling
+	Necessary and sufficient conditions for the solvability of the inverse problem for the matrix Sturm-Liouville operator	2012	Natalia P. Bondarenko
+ PDF Chat	Необходимые и достаточные условия разрешимости обратной задачи для матричного оператора Штурма - Лиувилля	2012	Natalia P. Bondarenko N. P. Bondarenko
+ PDF Chat	Spectral analysis for the matrix Sturm-Liouville operator on a finite interval	2011	Natalia P. Bondarenko
+ PDF Chat	Spectral analysis for the matrix Sturm-Liouville operator on a finite interval	2011	Natalia P. Bondarenko
+	The Inverse Problem of Spectral Analysis for the Matrix Sturm – Liouville Equation	2010	Natalia P. Bondarenko
+	Spectral Analysis for the Matrix Sturm-Liouville Operator on a Finite Interval	2010	Natalia P. Bondarenko
+	Обратная задача спектрального анализа для матричного уравнения Штурма Лиувилля	2010	Natalia P. Bondarenko

Common Coauthors

Coauthor	Papers Together
Chuan‐Fu Yang	24
Chung‐Tsun Shieh	8
Vjacheslav Yurko	8
Egor E. Chitorkin	7
Xiao‐Chuan Xu	6
Sergey Buterin	5
Ai-Wei Guan	4
D yu Wu	3
Andrey Gaidel	3
Gerhard Freiling	3
Yi-Teng Hu	3
Xin-Jian Xu	2
N. P. Bondarenko	1
Ran Zhang	1
Sheng-Yu Guan	1
Feng Wang	1
Xiaochuan Xu	1
Ran Zhang	1
Sergey Vasiliev	1
Chuan Yang	1
Yu Ping Wang	1
M. A. Kuznetsova	1
Xiao Chuan Xu	1
Ran Zhang	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Inverse Sturm-Liouville problems and their applications	2001	Gerhard Freiling Vjacheslav Yurko	83
+	Inverse Sturm-Liouville Problems	1987	B. M. Levitan	57
+	Inverse Spectral Theory	1987	Jürgen Pöschel Eugene Trubowitz	46
+	Sturm-Liouville operators and their applications	1977	V. А. Marchenko	42
+	An Inverse Sturm–Liouville Problem with Mixed Given Data	1978	Harry Hochstadt Burton Lieberman	32
+ PDF Chat	Inverse spectral problems for Sturm–Liouville operators with matrix-valued potentials	2009	Ya. V. Mykytyuk N S Trush	31
+ PDF Chat	Inverse spectral problems for Sturm Liouville operators with singular potentials	2003	Rostyslav Hryniv Ya. V. Mykytyuk	28
+	Inverse spectral problems for differential operators on spatial networks	2016	Vjacheslav Yurko	25
+	Method of Spectral Mappings in the Inverse Problem Theory	2002	Vacheslav A. Yurko	25
+	Sturm-Liouville Operators and Applications	1986	V. А. Marchenko	24
+ PDF Chat	A partial inverse problem for the Sturm–Liouville operator on a star-shaped graph	2017	Natalia P. Bondarenko	23
+	Weyl–Titchmarsh functions of vector-valued Sturm–Liouville operators on the unit interval	2009	Dmitry Chelkak Evgeny Korotyaev	23
+ PDF Chat	Half-inverse spectral problems for Sturm–Liouville operators with singular potentials	2004	Rostyslav Hryniv Yaroslav V. Mykytyuk	23
+	Inverse spectral problems for the Sturm–Liouville operator on a d-star graph	2009	Chuan‐Fu Yang	22
+	On inverse spectral problem for non-selfadjoint Sturm–Liouville operator on a finite interval	2007	Sergey Buterin	22
+ PDF Chat	Inverse spectral analysis with partial information on the potential, II. The case of discrete spectrum	1999	Fritz Gesztesy Barry Simon	20
+ PDF Chat	Inverse spectral problems for non-selfadjoint second-order differential operators with Dirichlet boundary conditions	2013	Sergey Buterin Chung‐Tsun Shieh Vjacheslav Yurko	20
+	The inverse problem of scattering theory	2020	Z. S. Agranovich V. А. Marchenko	19
+	Inverse problems for the matrix Sturm–Liouville equation on a finite interval	2006	Vjacheslav Yurko	19
+	On the Hochstadt–Lieberman theorem	2010	Olga Martinyuk Vyacheslav Pivovarchik	17
+	Inverse Sturm–Liouville Problems	2015	Manfred Möller Vyacheslav Pivovarchik	17
+ PDF Chat	A 2-edge partial inverse problem for the Sturm-Liouville operators with singular potentials on a star-shaped graph	2018	Natalia P. Bondarenko	15
+ PDF Chat	On half inverse problem for differential pencils with the spectral parameter in boundary conditions	2011	Sergey Buterin	15
+	Graph models for waves in thin structures	2002	Peter Kuchment	15
+	On a local solvability and stability of the inverse transmission eigenvalue problem	2017	Natalia P. Bondarenko Sergey Buterin	14
+	Half-inverse problems on the finite interval	2001	Lev Sakhnovich	14
+	Uniqueness of the Matrix Sturm-Liouville Equation given a Part of the Monodromy Matrix, and Borg Type Results	2005	M. M. Malamud	14
+	Inverse Spectral Problems for Sturm-Liouville Operators with Singular Potentials, II. Reconstruction by Two Spectra**The work was partially supported by Ukrainian Foundation for Basic Research DFFD under grant No. 01.07/00172. R. H. acknowledges support of the Alexander von Humboldt Foundation.	2004	Rostyslav Hryniv Yaroslav V. Mykytyuk	14
+	Inverse Problem for the Sturm--Liouville Equation on a Simple Graph	2000	Vyacheslav Pivovarchik	14
+ PDF Chat	Spectral analysis for the matrix Sturm-Liouville operator on a finite interval	2011	Natalia P. Bondarenko	14
+ PDF Chat	Reconstruction techniques for classical inverse Sturm-Liouville problems	1992	William Rundell Paul Sacks	14
+	Partial inverse problems for the Sturm–Liouville operator on a star-shaped graph with mixed boundary conditions	2017	Natalia P. Bondarenko	14
+ PDF Chat	Inverse spectral problems for energy-dependent Sturm–Liouville equations	2012	Rostyslav Hryniv Nataliya Pronska	13
+	On an Inverse Spectral Problem for a Convolution Integro-differential Operator	2007	Sergey Buterin	13
+	On Recovering the Dirac Operator with an Integral Delay from the Spectrum	2016	Natalia P. Bondarenko Sergey Buterin	13
+	An inverse spectral problem for Sturm-Liouville operators with singular potentials on star-type graphs	2008	G. Freiling M. Ignatiev Vjacheslav Yurko	13
+	The Inverse Problem of Scattering Theory	1991	A.G. Sitenko	12
+	Inverse problems for second-order differential pencils with Dirichlet boundary conditions	2012	Sergey Buterin Vjacheslav Yurko	12
+	Inverse spectral problems for Sturm–Liouville operators on graphs	2005	Vjacheslav Yurko	12
+ PDF Chat	Inverse problems for Sturm—Liouville operators with potentials in Sobolev spaces: Uniform stability	2010	А. М. Савчук А. А. Шкаликов	12
+ PDF Chat	Solving An Inverse Problem For The Sturm-Liouville Operator With A Singular Potential By Yurko's Method	2020	Natalia P. Bondarenko	12
+	Differential operators of even order with distribution coefficients	2016	К. А. Мирзоев Андрей Андреевич Шкаликов	12
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