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J. Sib. Fed. Univ. Math. Phys., 2009, Volume 2, Issue 2, Pages 127–136 (Mi jsfu58)  

This article is cited in 2 scientific papers (total in 2 papers)

An Identification Problem of Memory Function of a Medium and the Form of an Impulse Source

Durdimurod K. Durdiev

Bukhara State University, Bukhara, Uzbekistan

Abstract: In the paper the problem of identification of two functions, one of which is under the integral sign in a hyperbolic equation and represents the medium's memory, the other one defines the regular part of an impulse source is considered. As additional information Fourier image trace solution of a direct problem on the hyperplane $y=0$ for two different values of transformation parameters is given. The estimate of stability of the solution of the inverse problem and the uniqueness theorems is proved.

Keywords: inverse problem, hyperbolic equation, stability, uniqueness.

Full text: PDF file (152 kB)
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UDC: 517.958
Received: 19.11.2008
Received in revised form: 20.02.2009
Accepted: 29.03.2009
Language:

Citation: Durdimurod K. Durdiev, “An Identification Problem of Memory Function of a Medium and the Form of an Impulse Source”, J. Sib. Fed. Univ. Math. Phys., 2:2 (2009), 127–136

Citation in format AMSBIB
\Bibitem{Dur09}
\by Durdimurod~K.~Durdiev
\paper An Identification Problem of Memory Function of a~Medium and the Form of an Impulse Source
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2009
\vol 2
\issue 2
\pages 127--136
\mathnet{http://mi.mathnet.ru/jsfu58}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Durdimurod K. Durdiev, Zhavlon Z. Nuriddinov, “Determination of a multidimensional kernel in some parabolic integro–differential equation”, Zhurn. SFU. Ser. Matem. i fiz., 14:1 (2021), 117–127  mathnet  crossref
    2. A. A. Rakhmonov, U. D. Durdiev, Z. R. Bozorov, “Problem of determining the speed of sound and the memory of an anisotropic medium”, Theoret. and Math. Phys., 207:1 (2021), 494–513  mathnet  crossref  crossref
  • Журнал Сибирского федерального университета. Серия "Математика и физика"
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