一类非线性中立型微分方程解的振动性

数学理论与应用 ›› 2017, Vol. 37 ›› Issue (1): 7-15.

一类非线性中立型微分方程解的振动性

龙程，刘轶，谢永钦

长沙理工大学数学与统计学院,长沙,410114

出版日期:2017-03-30 发布日期:2020-09-24
基金资助:
长沙理工大学研究生科研创新项目(No:cx2016ss18)

Oscillation of Solutions for a Class of Nonlinear Neutral Differential Equations

Long Cheng， Liu Yi， Xie Yongqin

School of Mathematics and Statistics,Changsha University of Science and Technology,Changsha 410114,China

Online:2017-03-30 Published:2020-09-24

摘要/Abstract

摘要：

本文研究一类具有分布时滞的三阶非线性泛函微分方程解的振动行为,利用推广的黎卡提变换,通过积分平均方法,获得了泛函微分方程一些新的振动性判据,推广和改进了最近文献中的一些结果.

关键词: 三阶中立型微分方程, 振动准则, Riccati变换

Abstract: In this paper we study the oscillation of certain third-order nonlinear neutral differential equation with distributed delay by using non-classical Riccati transformation and integral averaging.We establish some new sufficient conditions which ensure that every solution of this equation oscillates or converges to zero.Our results essentially improve and complement the known results in the literatures recently.

Key words: Third-order neutral differential equation, Oscillation criterion, Riccati transformation

龙程, 刘轶, 谢永钦. 一类非线性中立型微分方程解的振动性[J]. 数学理论与应用, 2017, 37(1): 7-15.

Long Cheng, Liu Yi, Xie Yongqin. Oscillation of Solutions for a Class of Nonlinear Neutral Differential Equations[J]. Mathematical Theory and Applications, 2017, 37(1): 7-15.