非自治系统Rayleigh方程的调和解  

The Harmonic Solution of Rayleigh Equation on Nonautonomous Systems

作　　者：张新祥[1] 郭瑞海[2,1] 

机构地区：[1]河南财经学院信息系 [2]西南民族学院数学系

出　　处：《西南民族学院学报（自然科学版）》1997年第4期349-353,共5页Journal of Southwest Nationalities College(Natural Science Edition)

摘　　要：研究非自治系统Ｒａｙｌｅｉｇｈ方程解的终归有界性、调和解的存在性．利用其等价的平面系统和对应自治系统的平面系统一些条件，构造一条简单闭曲线，从而由Ｂｒｏｕｗｅｒ不动点原理得出结论．The eventual boundeness and existence of harmonic solution of Rayleigh equation on nonautonomous systems are studied.With the utilization of some conditions according to the plane autonomous system,one simple close curve is formed and,therefore,the result is obtained from Brouwer′s fixed point theory.

关 键 词：调和解 非自治系统 RAYLEIGH方程 终归有界性 

分 类 号：O175.1[理学—数学] O231[理学—基础数学]