Generalized Solution of Direct Problem for Modified Time-Dependent Transport Equation

Аннотация

Solvability of the generalized solution for the time-dependent modified transport equation with initial and boundary conditions problem is proved. Modified transport equation differs from the common equation by replacement integrated composed function, being the solution, by a constant function, from the same class of the solution. That modification is more convenient for some nonlinear inverse problems in comparison with the common transport equation.