One-dimensional inverse problems of determining the kernel of the integro-differential heat equation in a bounded domain
Author:
Affiliation:
1. Bukhara Branch of the Institute of Mathematics named after V.I. Romanovskiy Academy of Sciences of the Republic of Uzbekistan , Bukhara , Uzbekistan
2. Department of Differential Equations, Bukhara State University , Bukhara 200100 , Uzbekistan
Abstract
Publisher
Walter de Gruyter GmbH
Subject
Applied Mathematics,Numerical Analysis,Statistics and Probability,Analysis
Link
https://www.degruyter.com/document/doi/10.1515/msds-2022-0163/pdf
Reference15 articles.
1. V. G. Romanov, Inverse Problems of Mathematical Physics, Nauka, Moscow, 1984, https://zbmath.org/?q=an:03294380.
2. A. Lorenzi and E. Sinestrari, An inverse problem in the theory of materials with memory, Nonlinear Anal. TMA. 12 (1988), 411–423.
3. D. K. Durdiev, An inverse problem for a three-dimensional wave equation in the medium with memory, Math. Anal. Disc. Math. Novosibirsk, NGU. 11 (1989), no. 1, 19–26.
4. D. K. Durdiev, Question of well-posedness of a certain inverse problem for a hyperbolic integro-differential equation, Sibirsk. Mat. Zh. 3 (1992), no. 33, 427–433 (in Russian). DOI: https://doi.org/10.1007/BF00970890.
5. C. Cavaterra and M. Grasselli, Identifying memory kernels in linear thermoviscoelas-ticity of Boltzmann type, Math. Models Methods Appl. Sci. 6 (1994), no. 4, 807–842.
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