广义Laplace变换与双曲型线性偏微分方程组的积分
Generalized Laplace transformations and integration of hyperbolic systems of linear partial differential equations
摘要：
本文给出了平面上严格双曲型线性偏微分方程及其严格双曲型方程组的广义因式分解和构造完全解的一个新方法。这一过程推广了平面上二阶方程拉普拉斯变换的经典理论。
英文摘要：
We give a new procedure for generalized factorization and construction of the complete solution of strictly hyperbolic linear partial differential equations or strictly hyperbolic systems of such equations in the plane. This procedure generalizes the classical theory of Laplace transformations of second-order equations in the plane.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
