On the inverse problem for Sturm–Liouville-type operators with frozen argument: rational case

Sergey Buterin, M. A. Kuznetsova

Type: Article

Publication Date: 2019-10-24

Citations: 23

DOI: https://doi.org/10.1007/s40314-019-0972-8

View Publication

Download PDF

Locations

Computational and Applied Mathematics - View - PDF

Similar Works

Action	Title	Year	Authors
+	Sturm-Liouville-type operators with frozen argument and Chebyshev polynomials	2021	Tzong-Mo Tsai Hsiao-Fan Liu Sergey Buterin Lung-Hui Chen Chung‐Tsun Shieh
+	On recovering non-local perturbation of non-selfadjoint Sturm-Liouville operator	2023	M. A. Kuznetsova
+	An inverse spectral problem for Sturm–Liouville operators with frozen argument	2018	Natalia P. Bondarenko Sergey Buterin Sergey Vasiliev
+	Inverse problem for Sturm--Liouville operators with frozen argument on closed sets	2021	M. A. Kuznetsova
+	Spectrum completion and inverse Sturm-Liouville problems	2022	Vladislav V. Kravchenko
+ PDF Chat	Inverse problem for the Sturm-Liouville operator with a frozen argument on the time scale	2022	M. A. Kuznetsova
+	Inverse problem for Sturm-Liouville operators with rational reflection coefficient	1998	Daniel Alpay Israel Gohberg
+ PDF Chat	A practical method for recovering Sturm–Liouville problems from the Weyl function	2021	Vladislav V. Kravchenko Sergii M. Torba
+ PDF Chat	Spectrum completion and inverse Sturm–Liouville problems	2022	Vladislav V. Kravchenko
+	Inverse spectral problems for Sturm-Liouville operators with many frozen arguments	2024	Chung‐Tsun Shieh Tzong‐Mo Tsai
+	The Inverse Sturm-Liouville Problem	1998	Norman Levinson
+	The Inverse Sturm-Liouville Problem	1998	Norman Levinson
+ PDF Chat	Sturm–Liouville‐type operators with frozen argument and Chebyshev polynomials	2022	Tzong‐Mo Tsai Hsiao-Fan Liu Sergey Buterin Lung-Hui Chen Chung‐Tsun Shieh
+	An inverse Sturm-Liouville problem	1959	Allan D. Martin
+	Uniform stability of recovering the Sturm-Liouville operators with frozen argument	2023	M. M. Kuznetsova
+ PDF Chat	Inverse Sturm–Liouville Problem with Spectral Parameter in the Boundary Conditions	2023	Natalia P. Bondarenko Egor E. Chitorkin
+	Inverse problem on the half-line for the Sturm-Liouville operator with periodic potential	2015	А. Б. Хасанов A. B. Yakhshimuratov
+	The eigenvalues’ function of the family of Sturm-Liouville operators and the inverse problems	2019	Tigran Harutyunyan
+ PDF Chat	Inverse Sturm-Liouville problem with analytical functions in the boundary condition	2020	Natalia P. Bondarenko
+	Reconstruction of potential of discontinuous Sturm - Liouville operator from spectral data	2024	Özge Akçay

Works That Cite This (23)

Action	Title	Year	Authors
+	Traces for Sturm–Liouville Operators with Frozen Argument on Star Graphs	2020	Yi-Teng Hu Zhen-You Huang Chuan‐Fu Yang
+ PDF Chat	Finite-difference approximation of the inverse Sturm–Liouville problem with frozen argument	2021	Natalia P. Bondarenko
+ PDF Chat	Inverse spectral problems for functional-differential operators with involution	2022	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
+ PDF Chat	Inverse spectral problems for Hill-type operators with frozen argument	2021	Sergey Buterin Yi-Teng Hu
+ PDF Chat	Inverse problem for the Sturm-Liouville operator with a frozen argument on the time scale	2022	M. A. Kuznetsova
+ PDF Chat	Eigenvalue problems for a class of Sturm-Liouville operators on two different time scales	2022	Zeynep Durna A. Sinan Ozkan
+ PDF Chat	Inverse problem for a differential operator on a star-shaped graph with nonlocal matching condition	2022	Natalia P. Bondarenko
+ PDF Chat	Inverse spectral problem for differential pencils with a frozen argument	2024	Yi-Teng Hu Murat Şat
+ PDF Chat	On an open question in recovering Sturm–Liouville-type operators with delay	2020	Nebojša Djurić Sergey Buterin

Works Cited by This (17)

Action	Title	Year	Authors
+	Inverse Sturm-Liouville problems and their applications	2001	Gerhard Freiling Vjacheslav Yurko
+	Sturm-Liouville Operators and Applications	1986	V. А. Marchenko
+	Inverse Sturm-Liouville Problems	1987	B. M. Levitan
+	On an Inverse Spectral Problem for a Convolution Integro-differential Operator	2007	Sergey Buterin
+	Inverse problems for Sturm–Liouville differential operators with a constant delay	2012	Gerhard Freiling Vjacheslav Yurko
+	Inverse nonlocal Sturm–Liouville problem	2010	Л. П. Нижник
+ PDF Chat	Inverse spectral nonlocal problem for the first order ordinary differential equation	2011	Л. П. Нижник
+	Loaded differential operators: Convergence of spectral expansions	2014	И. С. Ломов
+	Inverse spectral problems for non-local Sturm–Liouville operators	2007	Sergio Albeverio Rostyslav Hryniv Л. П. Нижник
+	Inverse nodal problems for the Sturm–Liouville operator with a constant delay	2014	Chuan‐Fu Yang