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Teoreticheskaya i Matematicheskaya Fizika, 2008, Volume 156, Number 2, Pages 220–225
DOI: https://doi.org/10.4213/tmf6242 (Mi tmf6242) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Problem of determining the nonstationary potential in a hyperbolic-type equation

D. K. Durdiev

Bukhara State University
Full-text PDF (331 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf6242
Abstract: We solve the problem of determining the hyperbolic equation coefficient depending on two variables. Some additional information is given by the trace of the direct problem solution on the hyperplane x=0x=0. We estimate the stability of the solution of the inverse problem under study and prove the uniqueness theorem.
Keywords: inverse problem, hyperbolic equation, stability, uniqueness.
Received: 02.07.2007
English version:
Theoretical and Mathematical Physics, 2008, Volume 156, Issue 2, Pages 1154–1158
DOI: https://doi.org/10.1007/s11232-008-0085-9
Bibliographic databases:
Language: Russian
Citation: D. K. Durdiev, “Problem of determining the nonstationary potential in a hyperbolic-type equation”, TMF, 156:2 (2008), 220–225; Theoret. and Math. Phys., 156:2 (2008), 1154–1158
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf6242
  • https://doi.org/10.4213/tmf6242
  • https://www.mathnet.ru/eng/tmf/v156/i2/p220
    • This publication is cited in the following 3 articles:
    1. J. Sh. Safarov, “Inverse Problem for a Non-Homogeneous Integro-Differential Equation of the Hyperbolic Type”, Vestnik St.Petersb. Univ.Math., 57:1 (2024), 97  crossref
    2. Yatong Guo, Xin Wang, Caiyun Wang, Su Chen, “In vitro behaviour of human gingival fibroblasts cultured on 3D-printed titanium alloy with hydrogenated TiO2 nanotubes”, J Mater Sci: Mater Med, 33:3 (2022)  crossref
    3. Durdimurat K. Durdiev, “Problem of Determining the Two-Dimensional Absorption Coefficient in a Hyperbolic-Type Equation”, AM, 01:02 (2010), 124  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:457
    Full-text PDF :238
    References:57
    First page:4
     
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