- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2009 2 (2)
- Authors
- Durdiev, Durdimurod K.
- Contact information
- Durdiev, Durdimurod K. M.Ikbol street 11, Bukhara, 705018, Uzbekistan durdiev65@mail.ru
- Keywords
- inverse problem; hyperbolic equation; stability; uniqueness
- 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 mediums 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.
- Pages
- 127-136
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/1260
Journal of Siberian Federal University. Mathematics & Physics / An Identification Problem of Memory Function of a Medium and the Form of an Impulse Source
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