一类非线性微分方程极限环的唯二性和唯n性  

A Nonlinear Differential Equation Limit Cycles Existence of Exact"2" and "n

作　　者：张锡藩[1] 单锋[1] 

机构地区：[1]沈阳航空工业学院基础科学部

出　　处：《沈阳航空工业学院学报》2001年第1期71-75,共5页Journal of Shenyang Institute of Aeronautical Engineering

摘　　要：本文给出微分方程 x =φ(y) -F(x)　恰好 y =g(x)存在n个极限环的充分条件定理。本文是在更广泛条件下———F(x)为n级拟奇可微函数的情形进行讨论。定理的给出的条件 。This paper gives a theorem of sufficient condition for diffevential equations =φ(y)- F(x) =-g(x) just existing n limit cycles. The discussion is conducted under more extensive conditions- F(x) is n -order quasi-odd differentiable function. The conditions given by the theorem present more sufficiently physical meaning of practical background for existence of n limit cycles′s differential equations.

关 键 词：极限环 唯二性 唯n性 n级拟奇可微函数 非线性微分方程 

分 类 号：O175.1[理学—数学]