BOUNDARY VALUE PROBLEM FOR LOADED EQUATION OF PARABOLIC-HYPERBOLIC TYPE OF THE THIRD ORDER IN AN INFINITE THREE-DIMENSIONAL DOMAIN
B. I. IslomovNational University of Uzbekistan named after Mirzo Ulugbek Prosp. Universitet, 4 Tashkent -100125, UZBEKISTANYolqin AlikulovTashkent University of Information Technologies named after M. Al-Khworazmi Prop. Amir Temur, 108 Tashkent -100200, UZBEKISTAN
ABI
Abstract
In this paper, it is formulated and studied one of the problems for the loaded of parabolic-hyperbolic type equations of the third order in an infinite three-dimensional domain. The main method for study of the formulated problem is the Fourier transform. The uniqueness and existence of a regular solution of the problem are proved.