Journal of Siberian Federal University. Mathematics & Physics
 RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Archive Impact factor Guidelines for authors Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 J. Sib. Fed. Univ. Math. Phys.: Year: Volume: Issue: Page: Find

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

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)
References: PDF file   HTML file
UDC: 517.958
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} 

• http://mi.mathnet.ru/eng/jsfu58
• http://mi.mathnet.ru/eng/jsfu/v2/i2/p127

 SHARE:

Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

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
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
•  Number of views: This page: 222 Full text: 80 References: 39