具有相同反射函数的微分方程类  

Differential Equations with Same Reflecting Functions

作　　者：周坚[1] 赵士银[1] 

机构地区：[1]宿迁学院教师教育系,江苏宿迁223800

出　　处：《成都大学学报（自然科学版）》2015年第3期247-250,共4页Journal of Chengdu University（Natural Science Edition）

基　　金：国家自然科学基金(60774073)资助项目

摘　　要：利用Mironenko的反射函数方法研究了一类分式微分方程的周期解的几何性质,讨论了与该类分式微分方程等价的带扰动项的微分方程类,并由等价方程类的性质进一步得到了扰动微分方程的周期解的几何性质.In this paper, the reflective function of Mironenko is used to study the geometric property of the periodic solutions of the fractional differential equation. Then the paper discusses the differential equations with perturbation terms which are equivalent to the above-mentioned equations. According to the equivalence, the geometric property of the periodic solutions of perturbed differential equations is further obtained.

关 键 词：分式微分方程 反射函数 周期解 等价性 

分 类 号：O175.14[理学—数学]