奇次周期Riccati型微分系统的周期解  

PERIODIC SOLUTIONS OF PERIODIC RICCATI-TYPE DIFFERENTIAL SYSTEM WITH ODD DEGREE

作　　者：窦霁虹[1] 

机构地区：[1]西北大学数学系,西安710069

出　　处：《系统科学与数学》2005年第4期423-428,共6页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金(10371098)陕西省科技厅自然科学基金(2003A07)

摘　　要：本文讨论的是一类奇次周期Riccati型方程的周期解问题,利用数学归纳法,得到了奇次周期Riccati型方程周期多个周期解存在的充分条件,并且给出了定理实现的例子。In this paper, a class of periodic Riccati-type equations with odd degree are discussed. The sufficient conditions for the existence of several periodic solutions of the equation are obtained by means of mathematical induction, and feasibility of the theorems is shown by some examples.

关 键 词：周期Riccati型方程 周期解 存在性 数学归纳法 RICCATI型方程 微分系统 充分条件 定理 

分 类 号：O175[理学—数学]