一类偶数阶中立型非线性微分方程振动性

journal6 ›› 2010, Vol. 31 ›› Issue (5): 19-21.

一类偶数阶中立型非线性微分方程振动性

(济南大学理学院,山东济南 250022）

出版日期:2010-09-25 发布日期:2012-04-12
作者简介:韩振来(1962-)，男，山东济南人，济南大学理学院教授，博士，主要从事微分方程及其应用研究.
基金资助:
国家自然科学基金资助项目(60904024)；山东省自然科学基金资助项目(Y2008A28,ZR2009AL003)；济南大学博士基金(XBS0843)

Oscillation of Even Order Neutral Nonlinear Differential Equation

(School of Sciences,University of Ji’nan,Ji’nan 250022,China)

Online:2010-09-25 Published:2012-04-12

摘要/Abstract

摘要：利用Riccati变换技术研究了一类偶数阶中立型系数振动的混合非线性时滞微分方程的振动性,得到了该类方程所有有界解振动或者收敛于0的几个新的充分条件.

关键词： 振动性, 中立型微分方程, 振动系数, 混合非线性

Abstract: By means of Riccati transformation technique,this paper establishes some new criteria which guarantee all bounded solutions either oscillate or converge to zero for a class of even order neutral differential equation with mixed nonlinearities and oscillating coefficient.

Key words: oscillation, neutral differential equations, oscillating coefficient, mixed nonlinearities

韩振来, 韩猛, 李同兴, 孙莹. 一类偶数阶中立型非线性微分方程振动性[J]. journal6, 2010, 31(5): 19-21.

HAN Zhen-Lai, HAN Meng, LI Tong-Xing, SUN Ying. Oscillation of Even Order Neutral Nonlinear Differential Equation[J]. journal6, 2010, 31(5): 19-21.

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