Euler方程的解与二阶微分方程的振动性  

THE SOLUTIONS OF GENERAL EULER EQUATION AND OSCILLATION OF DIFFERENTIAL EQUATION OF SECOND ORDER

作　　者：程崇高[1] 胡永珍[2] 

机构地区：[1]黄冈师范学院数学系,湖北黄州438000 [2]内蒙古师范大学数学系,内蒙古呼和浩特010022

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2002年第4期315-320,共6页Journal of Inner Mongolia Normal University(Natural Science Edition)

摘　　要：给出了一般Euler方程的解并讨论它的振动性,利用这些结果和Sturm比较理论研究了二阶微分方程的振动性质.对于一类具有"积分小"系数或可化为具有"积分小"系数的二阶微分方程的振动性与非振动性给出了简便、精确的判别方法.In this paper,the solution of general Euler equation was given and its oscillation was discussed.By contrast the results with Sturm comparision theory we studied oscillation properties of differential equation of second order,and provided a simple convenient and accurate method of distinguishing oscillation from nonoscillation of second order differential equation which are with an 'integrally small' coefficient or which can be with an 'integrally small' coefficient.

关 键 词：Euler方程的解 振动性 “积分小”系数 

分 类 号：O175[理学—数学]