绝对微分方程报告I
Report on the absolute differential equations I
摘要：
本文对一般（偏）微分方程系统的绝对理论作了一个简单的概述。这些方程去掉了所有附加结构，变量可以任意改变。布尔巴基意义上的抽象数学理论及其自身的概念和技术工具如下。特别是外对称、内对称、广义对称、高阶对称和无穷小对称以及E。在不使用任何共同的喷流机制的情况下，在真正的坐标自由的条件下澄清了Cartan的简化，各种特征，对合性和可控性结构。
英文摘要：
The article provides a modest survey of the absolute theory of general systems of (partial) differential equations. The equations are relieved of all additional structures and subject to quite arbitrary change of the variables. An abstract mathematical theory in the Bourbaki sense with its own concepts and technical tools follows. In particular the external, internal, generalized and higher-order symmetries and infinitesimal symmetries together with the E. Cartan's prolongations, various characteristics, the involutivity and the controllability structures are clarified in genuinely coordinate-free terms without any use of the common jet mechanisms.
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。
