[1]王丽霞.具有强迫项的二阶时滞微分方程的振动性[J].延边大学学报(自然科学版),2013,39(03):185-187.
　WANG Lixia.Oscillation of second order nonlinear delay differential equations with forced term[J].Journal of Yanbian University,2013,39(03):185-187.
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具有强迫项的二阶时滞微分方程的振动性

《延边大学学报(自然科学版)》[ISSN:1004-4353/CN:22-1191/N] 卷: 第39卷 期数: 2013年03期 页码: 185-187 栏目: 出版日期: 2013-09-30
Title:
Oscillation of second order nonlinear delay differential equations with forced term
文章编号:
1004-4353(2013)03-0185-03
作者:
王丽霞
山西大同大学 数学与计算机科学学院, 山西 大同 037009
Author(s):
WANG Lixia
School of Mathematics and Computer Sciences, Shanxi Datong University, Datong 037009, China
关键词:
时滞微分方程;  强迫项;  振动性
Keywords:
delay differential equation;  forced;  oscillation
分类号:
O175
文献标志码:
A
摘要:
讨论具有强迫项的二阶时滞微分方程(k(t)φ(x(t))x’(t))’+p(t)x(τ(t))+q(t)x(σ(t))=e(t), 利用其线性近似方程(k(t)x’(t))’+p(t)x(τ(t))+q(t)x(σ(t))=e(t)的振动性,给出了方程解振动的一个充分条件,所得结果推广了文献[4]的相关结果.
Abstract:
We consider the second order force differential equation with oscillatory potentials(k(t)φ(x(t))x’(t))’+ p(t)x(τ(t))+q(t)x(σ(t))=e(t). A sufficent condition for oscillation of the equation is obtained by using the oscillation of its linearized equation(k(t)x’(t))’+p(t)x(τ(t))+q(t)x(σ(t))=e(t), which generalized the corresponding result of reference [4].

参考文献/References:

[1] Wong J S W. Oscillation criteria for a forced second order linear differential equation[J]. Math Anal Appl, 1999,231:235-240.
[2] Sun Y G. A note on Nasr’s and Wong’s papers[J]. Math Anal Appl, 2003,286:363-367.
[3] Tiryaki A, Cakmak D. Oscillation criterial for certain forced second order nonlinear differential equations with delayed argument[J]. Computers Math Applic, 2005,49(3):1647-1653.
[4] Guvenilir A F, Zafer A. Second-order oscillation of forced functional differential equations with oscillatory potentials[J]. Computer and Mathematics with Applications, 2006,51:1395-1404.

备注/Memo

收稿日期: 2013-04-12
作者简介: 王丽霞(1979—),女,讲师,研究方向为微分方程振动性.

更新日期/Last Update: 2013-06-30