一类偶数阶非线性中立型方程的渐进性和振动性

Asymptotic behavior and oscillation for a class of even order nonlinear neutral equations

摘要: 考虑一类带强迫项的偶数阶非线性中立型泛函微分方程,利用数学分析方法和技巧与方程各阶导数的符号关系,得到了该类方程解的渐进性和振动性的若干充分条件.

Abstract: A class of even order nonlinear neutral functional differential equations with forced term is considered.By using analytic method and technique,and according to the sign relation of derivatives up to n-th of the equation,some sufficient conditions for the asymptotic behavior and oscillation of solutions of the equations are obtained.