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
收藏
页码：105 / 126
页数：22
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