An Identification Problem of Memory Function of a Medium and the Form of an Impulse Source
URI (for links/citations):https://elib.sfu-kras.ru/handle/2311/1260
Durdiev, Durdimurod K.
(Durdiev, Durdimurod K. M.Ikbol street 11, Bukhara, 705018, Uzbekistan email@example.com)
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.