Abstract
A mathematical model of reactor dynamics described by a system of integro-differential equations consisting of an unsteady-state multivelocity kinetic transfer equation and a delayed neutrons balance equation is considered. To refine some parameters of this system a number of inverse problems of reactor dynamics with a new definition of integral form are solved. Statements of the linear inverse problem of recovery of a part of the function of inner neutron sources, and non-linear inverse problems of recovery of a part of the absorption coefficient are presented. The sought for parts of the said parameters are functions depending on the velocity and time variables. Theorems of existence and uniqueness of generalized solutions have been proved.
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