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
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.
inverse problem, hyperbolic equation, stability, uniqueness.
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Received in revised form: 20.02.2009
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
\paper An Identification Problem of Memory Function of a~Medium and the Form of an Impulse Source
\jour J. Sib. Fed. Univ. Math. Phys.
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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
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
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