Geodesic
Existence of a null Chaplygin approximation for a solution of the generalized Cauchy problem
Matematičeskie zametki, Tome 10 (1971) no. 4, pp. 447-452.

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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. 
@article{MZM_1971_10_4_a8,
     author = {V. S. Blinchevskii},
     title = {Existence of a null {Chaplygin} approximation for a solution of the generalized {Cauchy} problem},
     journal = {Matemati\v{c}eskie zametki},
     pages = {447--452},
     publisher = {mathdoc},
     volume = {10},
     number = {4},
     year = {1971},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1971_10_4_a8/}
}
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V. S. Blinchevskii. Existence of a null Chaplygin approximation for a solution of the generalized Cauchy problem. Matematičeskie zametki, Tome 10 (1971) no. 4, pp. 447-452. http://geodesic.mathdoc.fr/item/MZM_1971_10_4_a8/