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Applicable Analysis
An International Journal
Volume 99, 2020 - Issue 4
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Articles

An inverse spectral problem for integro-differential Dirac operators with general convolution kernels

Natalia BondarenkoDepartment of Applied Mathematics, Samara National Research University, Samara, Russian Federation;Department of Mathematics, Saratov National Research State University, Saratov, Russian FederationView further author information
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Sergey ButerinDepartment of Mathematics, Saratov National Research State University, Saratov, Russian FederationCorrespondence[email protected]
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Pages 700-716 | Received 09 Mar 2018, Accepted 31 Jul 2018, Published online: 15 Aug 2018

Citations (14)

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Read on this site (2)

Baki Keskin & H. Dilara Tel. (2022) Inverse Nodal Problems for Dirac-Type Integro-Differential Operators with Linear Functions in the Boundary Condition. Numerical Functional Analysis and Optimization 43:10, pages 1289-1301.
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Natalia P. Bondarenko. (2020) A partial inverse problem for the Dirac system with an integral delay. Inverse Problems in Science and Engineering 28:4, pages 513-523.
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Articles from other publishers (12)

Kun Li, Jiajia Zheng, Jinming Cai & Zhaowen Zheng. (2023) Eigenvalues of one-dimensional Hamiltonian operators with an eigenparameter in the boundary condition. Journal of Mathematical Physics 64:9.
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S. Buterin & N. Djurić. (2022) Inverse Problems for Dirac Operators with Constant Delay: Uniqueness, Characterization, Uniform Stability. Lobachevskii Journal of Mathematics 43:6, pages 1492-1501.
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Alexander Makin. (2022) On the spectrum of non-self-adjoint Dirac operators with quasi-periodic boundary conditions. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, pages 1-19.
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Sergey Buterin. (2021) Uniform full stability of recovering convolutional perturbation of the Sturm–Liouville operator from the spectrum. Journal of Differential Equations 282, pages 67-103.
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Sergey Buterin. (2021) Uniform stability of the inverse spectral problem for a convolution integro-differential operator. Applied Mathematics and Computation 390, pages 125592.
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Natalia Bondarenko & Sergey Buterin. (2020) Numerical solution and stability of the inverse spectral problem for a convolution integro-differential operator. Communications in Nonlinear Science and Numerical Simulation 89, pages 105298.
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Sergey Buterin. 2020. Transmutation Operators and Applications. Transmutation Operators and Applications 337 367 .
Yi-teng Hu, Natalia Pavlovna Bondarenko, Chung-Tsun Shieh & Chuan-fu Yang. (2019) Traces and inverse nodal problems for Dirac-type integro-differential operators on a graph. Applied Mathematics and Computation 363, pages 124606.
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Natalia P. Bondarenko. (2019) An inverse problem for an integro-differential pencil with polynomial eigenparameter-dependence in the boundary condition. Analysis and Mathematical Physics 9:4, pages 2227-2236.
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Natalia P. Bondarenko. (2019) An Inverse Problem for an Integro-Differential Equation with a Convolution Kernel Dependent on the Spectral Parameter. Results in Mathematics 74:4.
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Murat Sat & Chung Tsun Shieh. (2019) Inverse nodal problems for integro-differential operators with a constant delay. Journal of Inverse and Ill-posed Problems 27:4, pages 501-509.
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Sergey Buterin & Margarita Malyugina. (2018) On Global Solvability and Uniform Stability of One Nonlinear Integral Equation. Results in Mathematics 73:3.
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