摘要
在复数域中讨论迭代泛函微分方程x′(z)=1x(az+bx(z)),z∈C(Ⅰ)的解析解的存在性。在α是单位根的情形以及α在共振点附近且满足Brjuno条件的情形下,给出了解析解的结果。
The existence of an analytic solution was discussed for a first order iterative functional differential equation x′（z）=1/x（az＋bx（z））,z∈C in a complex field. In previous work [6], the eigen-value of the linearization was required to fulfill that a is not on the unit circle or lies on the circle with the Diophantine condition, Results of the analytic solution were obtained in the case that a was the unit mot and the case that a is near resonance under the Brjuno condition.
出处
《山东大学学报（理学版）》
CAS
CSCD
北大核心
2007年第12期82-86,共5页
Journal of Shandong University(Natural Science)
基金
山东省自然科学基金资助项目(2006ZRB01066)
关键词
迭代
解析解
优级数
iterative
analytic solution
majorant series
