一类二阶非线性常微分方程的初值问题

本文建立了一类二阶非线性常微分方程初值问题的一个定理,给出了它的关于解的周期性、振动性和估计式的三个推论及对应于它们的例子,指出由Thomas、DeSpantz和Lerman、Klamkin和Reid及Stare等人所考察过的一些二阶非线性常微分方程都是本文方程的特例。

Initial Value Problem of a Class of Second Order Nonlinear Ordinary Differential Equations

In this Paper, a theorem on the initial value prolem of a class of second order nonlinear ordinary differential equations is established,and its three corollaries on periodicity,oscillation and estimation of solutions and examples corresponding to them are given. Finally.it is pointed out that several second order nonlinear ordinary differential equations considered by Thomas,DeSpantz and Lerman,Klamkin and Reid and Stare are special cases of the equations in the present paper.