Existence of a null Chaplygin approximation for a solution of the generalized Cauchy problem

In this paper two theorems are proved on the existence of a null Chaplygin approximation for a solution of the generalized Cauchy problem, from which the solvability of this problem in the class of continuous functions follows.Translated from Matematicheskie Zametki, Vol. 10, No. 4, pp. 447–452, October, 1971.