The closed form solution of the Darboux boundary value problem for backward driving of solids by the high explosive

The closed form solution of the Darboux boundary value problem, which occurs at the backward driving solids by the condensed explosive, was obtained in this paper. The constructed solution may be used, among other cases, for estimating the explosively driven elements velocity of the casing and liner of the wedge hollow charge. The solution may be applied for evaluation of the explosive active part in the wedge shaped charge, too. These problems will be considered in the next paper.