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具变号系数的四阶非线性变时滞微分方程的振动性
引用本文:郭芳,朱红霞,韩效宥.具变号系数的四阶非线性变时滞微分方程的振动性[J].雁北师范学院学报,2010(3).
作者姓名:郭芳  朱红霞  韩效宥
作者单位:山西大同大学数学与计算机科学学院;河北廊坊师范学院数学与信息科学学院;北方工业大学理学院;
摘    要:在振动因子p(t)变号的情况下,研究四阶非线性微分方程x(4()t)+p(t)f(x(g(t)))=0的振动性,并得到方程振动的一个充分性定理.

关 键 词:非线性  系数变号  四阶微分方程  变时滞  振动性  

Oscillation of Four-order Nonlinear Variable Delay Differential Equations With Variable Coefficient
GUO Fang,ZHU Hong-xia,HAN Xiao-you.Oscillation of Four-order Nonlinear Variable Delay Differential Equations With Variable Coefficient[J].Journal of Yanbei Teachers College,2010(3).
Authors:GUO Fang  ZHU Hong-xia  HAN Xiao-you
Institution:GUO Fang1,ZHU Hong-xia2,HAN Xiao-you3 (1.School of Mathematics and Computer Science,Shanxi Datong University,Datong Shanxi,037009,2.Department of Mathematics Information Science,Langfang Normal College,Langfang Hebei,065000,3.College of Science,North China University of Technology,Beijing,100144)
Abstract:This paper studies the oscillation of a kind of four-order nonlinear variable delay differential equation with variable coefficient. Asufficient condition for the oscillation is obtained.
Keywords:nonlinear  variable coefficient  four-order differential equation  variable delay  oscillation  
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