%0 Journal Article %T On some boundary value problems for a class of hyperbolic systems of second order in conic domains %A Kharibegashvili S %J Journal of Inequalities and Applications %D 2005 %I Springer %X For one class of hyperbolic systems of second order, we consider multidimensional versions of the Darboux problem in conic domains. A priori estimates of solutions of these problems are obtained. The existence of a solution of the Darboux problems is proved under the supplementary conditions imposed on the coefficients of the system, when the data support of the problem is of temporary type. %U http://www.journalofinequalitiesandapplications.com/content/2005/941947