%0 Journal Article %A M. V. Dontsova %T Solvability conditions of the Cauchy problem for a system of first-order quasi-linear equations, where ${f_1}(t,x), {f_2}(t,x), {S_1}, {S_2}$ are given functions %J Čebyševskij sbornik %D 2023 %P 165-178 %V 24 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/CHEB_2023_24_2_a7/ %G ru %F CHEB_2023_24_2_a7