Truncated Solutions For The First Painleve Equation

被引：0

作者：

Delabaere, Eric

Loday-Richaud, Michele

Mitschi, Claude

Sauzin, David

机构：

来源：

DIVERGENT SERIES, SUMMABILITY AND RESURGENCE III: RESURGENT METHODS AND THE FIRST PAINLEVE EQUATION | 2016年 / 2155卷

关键词：

MEROMORPHIC DIFFERENTIAL-EQUATIONS; MULTISUMMABILITY; SYSTEMS;

D O I：

10.1007/978-3-319-29000-3_6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the previous chapters, we studied the unique formal solution of the first Painleve equation then we introduced its formal integral. In this chapter, we show that formal series components of the formal integral are 1-Gevrey and their minors have analytic properties quite similar to those for the minor of the formal series solution we started with (Sect. 6.1). We then make a focus on the transseries solution and we show their Borel-Laplace summability (Sect. 6.2). This provides the truncated solutions by Borel-Laplace summation (Sect. 6.4).

引用

页码：129 / 146

页数：18

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