The Same Value Oscillation Of Second Order Differential Equation

On the basis of oscillation of second order differential equations, theories of os-cillation comparison and zero point.The definitions of oscillation are expanded,at the same time the concept of same value oscillation are given, furthermore,the same value oscillation are studied.some good results of the same value oscillation compar-ison theories and same value point theories of second order differential equations are included.The main contents of this paper is as follows:1.Some concepts,and results are introduced firstly which will be used.2.On the basis of the definitions of second order differential equations,a new oscillation that is same value oscillation is defined.The same value oscillation com-parison theories are researched,new comparison theoremes are obtatined,and these new comparison theoremes are proved.3.The conditiones of same value oscillation of second order differential equations are investigated,some conditiones which about same value oscillation and non same value oscillation are obtatined.4.On the basis of the theory of zero point,some results about distance between two same value points and results about sequence of same value points are obtatined.