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Inverse Problems in Science and Engineering Volume 18, 2010 - Issue 1: Proceedings of the 4th International Conference on Inverse Problems: Modelling and Simulation, May 26th–30th, 2008, held in Fethiye, Turkey
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Original Articles

Reconstruction formula for the potential function of Sturm–Liouville problem with eigenparameter boundary condition

Etibar S. PanakhovDepartment of Mathematics, Firat University, 23119 Elazιg, Turkey
,
Hikmet KoyunbakanDepartment of Mathematics, Firat University, 23119 Elazιg, Turkey
&
Unal IcDepartment of Mathematics, Firat University, 23119 Elazιg, Turkey
Pages 173-180 | Received 15 Oct 2008, Accepted 28 Mar 2009, Published online: 19 Oct 2009

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Yu Ping Wang, Zhen You Huang & Chuan Fu Yang. (2013) Reconstruction for the spherically symmetric speed of sound from nodal data. Inverse Problems in Science and Engineering 21:6, pages 1032-1046.
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Emrah Yılmaz & Hikmet Koyunbakan. (2010) Reconstruction of potential function and its derivatives for Sturm–Liouville problem with eigenvalues in boundary condition. Inverse Problems in Science and Engineering 18:7, pages 935-944.
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Articles from other publishers (9)

T. M. Mannapova, U. O. Agisheva & M. N. Galimzyanov. (2023) Identification of Elastic Boundary Conditions and Crack Depth. Lobachevskii Journal of Mathematics 44:5, pages 1738-1743.
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Sertaç GÖKTAŞ. (2020) Sınır Koşulunda Öz Parametre Bulunduran Bir Sturm-Liouville Operatörü İçin Ters Nodal Problem. Gümüşhane Üniversitesi Fen Bilimleri Enstitüsü Dergisi.
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V. A. Sadovnichii, Ya. T. Sultanaev & A. M. Akhtyamov. (2020) Uniqueness of Reconstruction of an nth-Order Differential Operator with Nonseparated Boundary Conditions by Several Spectra. Doklady Mathematics 101:1, pages 46-48.
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V. A. Sadovnichii, Ya. T. Sultanaev & A. M. Akhtyamov. (2019) Inverse Sturm-Liouville Problem with Nonseparated Boundary Conditions on a Geometric Graph. Differential Equations 55:2, pages 194-204.
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I.M. Utyashev & A.M. Akhtyamov. (2018) Determination of local inhomogeneity of the medium from the natural frequencies of string oscillations. Multiphase Systems 13:4, pages 99-106.
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A.M. Akhtyamov, Kh.R. Mamedov & E.N. Yilmazoglu. (2018) Boundary Inverse Problem for Star-Shaped Graph with Different Densities Strings-Edges. Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software" 11:3, pages 5-17.
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Chinare G. Ibadzadeh & Ibrahim M. Nabiev. (2016) An inverse problem for Sturm–Liouville operators with non-separated boundary conditions containing the spectral parameter. Journal of Inverse and Ill-posed Problems 24:4, pages 407-411.
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A. M. Akhtyamov & R. R. Kumushbaev. (2016) Identification of the polynomial in nonseparated boundary conditions by one eigenvalue. Differential Equations 52:5, pages 672-675.
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V. A. Sadovnichii, Ya. T. Sultanaev & A. M. Akhtyamov. (2015) Solvability theorems for an inverse nonself-adjoint Sturm-Liouville problem with nonseparated boundary conditions. Differential Equations 51:6, pages 717-725.
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