关于非线性微分方程的非振动解及其渐近性

On Non-Oscillation and Asymptotic Behavior of the Solutions of a Class of Nonlinear Equation With Periodic Coefficients

该文主要利用Brouwer不动点定理和解的交差比率法，研究下列非线性微分方程（其中，Ai（t）（i=0，1，2，...，m）均是以ω为周期的连续函数，ω＞0）．解的振动性及其渐近性，得到了几个关于方程（1）的非振动解与其ω周期解之间的渐近关系的定理．

In the paper, it is investigated the following nonlinear differential equation.with Deriodic coefficients Obtained a few theorens for non-oscillation and by the method of cross-ratio of solutions and the Brouwer fined point theorem and asymptotic of the solutions of equation (1)