关于一类新的高阶非线性中立时滞微分方程的非振荡解的存在性

Existence of Nonoscillatory Solutions for a New Higher-order Nonlinear Neutral Delay Differential Equation

该文研究了一类新的高阶非线性中立时滞微分方程,建立了非振荡解的存在条件,并根据函数P(t)值域的不同以五个定理加以阐述.

A new higher-order nonlinear neutral delay differential equation is studied in this paper,and some sufficient conditions for existence of nonoscillatory solutions for this equation are established and expatiated through five theorems according as the range of value of function P（t）.