We apply new approach for the Goursat and Cauchy problems with additional recovering of coefficients of equation for selection of the cases of solvability of these problems in quadratures. Instead of introduction of additional boundary value conditions we offer restrictions on the structure of the equation connected with possibility of its factorization.

中文翻译：

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三维Bianchi方程的Goursat和Cauchy问题

我们对Goursat和Cauchy问题应用了新方法，并增加了方程系数的恢复，以选择这些问题在正交上的可解性。代替引入附加的边界值条件，我们对方程的结构进行限制，并考虑其分解的可能性。