摘要
利用Banach空间的不动点原理,通过引入参数函数和Riccati变换,获得了该类方程存在非振动解的新的准则,并同时得到了该类方程振动的判别准则,这些准则改善了对方程的条件限制,所得结论推广并改进了现有文献中的一系列结果.
Using the fixed point theorem in Banach space,and by introducing parameter function and the generalized Riccati transformation,a new nonoscillation criteria for the equation was obtained.In addition,a sufficient condition for oscillation of the equation was proposed.These criteria can improve the restriction of the conditions for the equation. Some existed results in the literatures have been further improved and extended.
出处
《华东师范大学学报(自然科学版)》
CAS
CSCD
北大核心
2011年第2期10-16,38,共8页
Journal of East China Normal University(Natural Science)
基金
湖南省教育厅科研重点项目(09A082)
关键词
正负系数
中立型泛函数微分方程
非线性
振动和非振动
RICCATI变换
positive and negative coefficient
neutral functional differential equation
nonlinear
oscillation and nonoscillation
Riccati transformation