О существовании и асимптотических свойствах решений одной вещественной системы дифференциальных уравнений, не разрешенных относительно производной

Abstract

A system of differential equations unresolved with respect to a derivative is studied. Sufficient conditions for the existence of solutions with singular initial data are found. The dimensionality of the set of these solutions is determined and their asymptotic properties are studied.