  We analyse the results of recent measurements of nonthermal emission from
individual supernova remnants (SNRs) and their correspondence to the nonlinear
kinetic theory of cosmic ray (CR) acceleration in SNRs. It is shown that the
theory fits these data in a satisfactory way and provides the strong evidences
for the efficient CR production in SNRs accompanied by significant magnetic
field amplification. Magnetic field amplification leads to considerable
increase of CR maximum energy so that the spectrum of CRs accelerated in SNRs
is consistent with the requirements for the formation of Galactic CR spectrum
up to the energy ~10^17 eV.
