at t = tmax (r, E), determined by Eq. 4.12.18, and then decreases according to the law ^ ( -10 )-32 . It can be seen from Eq. 4.12.17 that if A(E )<* Eft (where ft > 0), then the accelerated particle spectrum in the space first proves to be at t < tmax(r,E) more harder than that ejected by the source and then becomes softer and softer. If t >> tmax (r, E), and F(E) ^ E Y ft in the relativistic energy range, then i(E,r, t) E-Y+P-(?l2) .
In the non-relativistic energy range, where F(Ek) ^ E- Y+ft+2, we shall obtain at t >> tmax (r, Ek r that r(Ek,r,t) E^-(32M4.
If the total particle flux from the source is variable in time, i.e. it may be presented in the form F (E, t )^(r - ro), then beyond the source
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