关于一类新的高阶非线性中立时滞微分方程的非振荡解的存在性  

Existence of Nonoscillatory Solutions for a New Higher-order Nonlinear Neutral Delay Differential Equation

作　　者：郭振宇[1] 

机构地区：[1]辽宁石油化工大学理学院,辽宁抚顺113001

出　　处：《数学物理学报（A辑）》2011年第5期1353-1358,共6页Acta Mathematica Scientia

摘　　要：该文研究了一类新的高阶非线性中立时滞微分方程,建立了非振荡解的存在条件,并根据函数P(t)值域的不同以五个定理加以阐述.A new higher-order nonlinear neutral delay differential equation is studied in this paper,and some sufficient conditions for existence of nonoscillatory solutions for this equation are established and expatiated through five theorems according as the range of value of function P（t）.

关 键 词：非振荡解 高阶中立时滞微分方程 压缩映射 

分 类 号：O177.91[理学—数学]