摘要
中立型泛函微分方程的振动性在理论和应用中有着重要意义。本文研究了一类具有正负系数的二阶非线性中立型时滞泛函微分方程的振动性,利用Banach空间的压缩映象原理和一些分析技巧,建立了该方程非振动的一些新的准则,并给出了定理应用的例子。所得结论推广和改进了现有文献中的一系列结果。
The oscillation of neutral functional differential equations has important implications in both theory and application. We study the oscillation of a class of second order nonlinear neutral delay functional differential equations with positive and negative coefficients. Using the Banach contraction mapping principle and some analytic techniques, some new nonoscillation criteria for the equation are established, and illustrative examples are given. Existing results in the literature are improved and extended.
出处
《工程数学学报》
CSCD
北大核心
2010年第1期118-124,共7页
Chinese Journal of Engineering Mathematics
基金
湖南省教育厅资助科研项目(07C680)~~
关键词
正负系数
中立型泛函微分方程
非线性
振动
非振动
positive and negative coefficient
neutral functional differential equation
nonlinear
oscillation
nonoscillation
