THREE INVERSE PROBLEMS OF MATHEMATICAL PHYSICS FOR HYPERBOLIC-TYPE EQUATION IN DIFFERENT STATEMENTS
The problems in question consist in recovering an unknown source in the boundary condition and an unknown potential at the smallest term of the hyperbolic-type equation in linearized and exact statements. We consider the dependences of the desired source and given information on different variables. We study the properties of the required functions. The main result of the investigation is the theorems of uniqueness of the potential q(y) on the semi-axis у > 0 and of the sources f(x), f(t) and which belong to special classes of the functions.