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The inverse problem of cosmic ray transport of ultra-high energy cosmic raysis considered. The analysis of Auger data on energy spectrum, energy dependenceof mean logarithm of atomic mass number and its variance allows definiteconclusions on the shape of the source spectrum in the frameworks of theinverse problem approach. The discussion on regularization procedure forconsidered ill-posed problem is presented.

On the inverse problem for extragalactic cosmic ray nuclei with energies $10^{18}$ to $10^{20}$ eV