On the correctness of inverse problem of determining couple ${\upsilon,\sigma}$ in the case of a simple equation for the transfer of radiation

The article outlines the main research questions of the local properties of the collision integral and classical solutions of non-stationary radiative transfer equation, considered in the plain area of $R_3$.
The paper studied and proved the correctness of questions "in the large" number of inverse problems for nonstationary transport equation, considered in a limited plain area of $R_3$, for the simultaneous determination of the pair ${\upsilon,\sigma}$.
We present the smoothness of the area under consideration, taking into account the area of the prostate, to prove the lemma 1-4, on the basis of the lemma is proved Theorem 1.