一类二阶中立型微分方程的振动性  

Oscillation of a Class of Second Order Neutral Differential Equations

作　　者：杨甲山[1] 方彬[2,3] 

机构地区：[1]梧州学院数理系,广西梧州543002 [2]北京信息控制研究所,北京100037 [3]信阳师范学院数学与信息科学学院,河南信阳464000

出　　处：《数学的实践与认识》2013年第23期193-197,共5页Mathematics in Practice and Theory

基　　金：湖南省教育厅科研重点项目(09A082)

摘　　要：研究了一类具有正负系数和非线性中立项的二阶变时滞的非线性泛函微分方程的振动性,通过引入参数函数和Riccati变换,获得了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.This paper discussed oscillation of a class of second order variable delay nonlinear functional differential equations with positive and negative coefficients and a nonlinear neutral term. By introducing parameter function and the generalized Riccati transformation, some sufficient conditions for oscillation of the equations ~e proposed. These criteria can improve the restriction of the conditions for the equations. Some existed results in the literatures have been further improved and extended.

关 键 词：正负系数 非线性中立项 变时滞 振动和非振动 RICCATI变换 

分 类 号：O175[理学—数学]