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

数学物理学报 ›› 2011, Vol. 31 ›› Issue (5): 1353-1358.

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

郭振宇

辽宁石油化工大学理学院 |辽宁抚顺 113001

收稿日期:2009-08-31 修回日期:2010-09-22 出版日期:2011-10-25 发布日期:2011-10-25

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

GUO Zhen-Yu

School of Sciences, Liaoning Shihua University, Liaoning Fushun 113001

Received:2009-08-31 Revised:2010-09-22 Online:2011-10-25 Published:2011-10-25

摘要/Abstract

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.

关键词: 非振荡解, 高阶中立时滞微分方程, 压缩映射

Abstract:

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).

Key words: Nonoscillatory solution, Higher-order neutral delay differential equation, Contraction mapping

中图分类号:

34K15

郭振宇. 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[J]. 数学物理学报, 2011, 31(5): 1353-1358.

GUO Zhen-Yu. Existence of Nonoscillatory Solutions for a New Higher-order Nonlinear Neutral Delay Differential Equation[J]. Acta mathematica scientia,Series A, 2011, 31(5): 1353-1358.

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