transseries的拓扑构造及广义Borel可和性的引入
Topological construction of transseries and introduction to generalized Borel summability
摘要：
在Écalle意义上的Transseries使用拓扑方法构造。给出并证明了一个一般的压缩映射原理，证明了跨级数在广泛的一类运算下的封闭性。在第二部分中，我们给出了一般的和偏微分的广义博雷尔求和和差分方程的结果和方法，重建的实际功能和方程的解决方案的transseries的。
英文摘要：
Transseries in the sense of Écalle are constructed using a topological approach. A general contractive mapping principle is formulated and proved, showing the closure of transseries under a wide class of operations. In the second part we give an overview of results and methods reconstruction of actual functions and solutions of equations from transseries by generalized Borel summation with in ordinary and partial differential and difference equations.
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