二阶时滞微分方程的振动性

数学季刊 ›› 2004, Vol. 19 ›› Issue (1): 30-34.

二阶时滞微分方程的振动性

1.Department of Mathematics, Yunnan University, Kunming 650091, China; 2.Department of Mathematics, Shanghai University, Shanghai 200436, China.

收稿日期:2002-03-05 出版日期:2004-03-30 发布日期:2024-03-25
作者简介:YIN Fu-qi(1970-),male,native of Xiangtan,Hunan,doctoral student of Shanghai University, engages in infnite-dimensional dynamical systems and functional differential equations.
基金资助:
Supported by the National Natural Science Foundation of China(10061004)； Supported by the Natural Sciences Foundation of Yunnan province(2003A0001M)；

Oscillation of Second-order Delay Differential Equation

1.Department of Mathematics, Yunnan University, Kunming 650091, China; 2.Department of Mathematics, Shanghai University, Shanghai 200436, China.

Received:2002-03-05 Online:2004-03-30 Published:2024-03-25
About author:YIN Fu-qi(1970-),male,native of Xiangtan,Hunan,doctoral student of Shanghai University, engages in infnite-dimensional dynamical systems and functional differential equations.
Supported by:
Supported by the National Natural Science Foundation of China(10061004)； Supported by the Natural Sciences Foundation of Yunnan province(2003A0001M)；

摘要/Abstract

摘要： By using some differential inequality, a second-order delay differential equation(r(t)x’(t))’+p(t)x(q(t)) = 0has been investigated and some necessary condition for this equation has a nonoscillatory solution and some sufficient condition which ensures that all of the solutions of the above equation are oscillatory are obtained.

关键词: differential , equation, delay, oscillation, differential , inequality

Abstract: By using some differential inequality, a second-order delay differential equation(r(t)x’(t))’+p(t)x(q(t)) = 0has been investigated and some necessary condition for this equation has a nonoscillatory solution and some sufficient condition which ensures that all of the solutions of the above equation are oscillatory are obtained.

Key words: differential , equation, delay, oscillation, differential , inequality

中图分类号:

O175.13

尹福其, 李永昆. 二阶时滞微分方程的振动性[J]. 数学季刊, 2004, 19(1): 30-34.

YIN Fu-qi, LI Yong-kun . Oscillation of Second-order Delay Differential Equation[J]. Chinese Quarterly Journal of Mathematics, 2004, 19(1): 30-34.

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