Summability of formal solutions of a class of nonlinear difference equations

被引：4

作者：

Immink, GK ^{[1
]}

机构：

[1] Univ Groningen, Dept Econ, NL-9700 AV Groningen, Netherlands

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2001年 / 7卷 / 01期

关键词：

nonlinear difference equation; level 1(+); formal solution; asymptotic expansion; summability;

D O I：

10.1080/10236190108808264

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss a class of nonlinear difference equations possessing formal power series solutions which are, in general, not multi-summable in any direction. We prove that these equations do possess solutions that are characterized uniquely by their asymptotic expansion.

引用

页码：105 / 126

页数：22

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