具有正负系数的二阶非线性中立型方程的非振动准则  

Nonoscillation Criteria for Second Order Nonlinear Neutral Equations with Positive and Negative Coefficients

作　　者：杨甲山[1] 

机构地区：[1]邵阳学院理学与信息科学系,湖南邵阳422004

出　　处：《工程数学学报》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)~~

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.

关 键 词：正负系数 中立型泛函微分方程 非线性 振动 非振动 

分 类 号：O175.7[理学—数学]