摘要
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。
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.
出处
《应用数学》
CSCD
北大核心
1994年第1期48-53,共6页
Mathematica Applicata
关键词
非线性
常微分方程
初值问题
Nonlinear ordinary differential equation
Initial value problem
Periodicity,oscillation and estimation of solution