二阶半线性滞后型方程振动的Riccati方法

广东工业大学学报 ›› 2003, Vol. 20 ›› Issue (3): 88-91.

二阶半线性滞后型方程振动的Riccati方法

广东工业大学应用数学系广东广州 510090；

出版日期:2003-09-04 发布日期:2003-09-04

Oscillation of Second Order Half-linear Retarded Equations by Riccatis Methods

Dept. of Applied Mathematics, Guangdong University of Technology, Guzngzhou 510090, China

Online:2003-09-04 Published:2003-09-04

摘要/Abstract

摘要： 利用Riccati不等式方法和Young不等式技巧,研究二阶半线性滞后型方程解的振动性质,得到了一些保证此方程一切解振动的充分条件。

邢鸿雁； . 二阶半线性滞后型方程振动的Riccati方法[J]. 广东工业大学学报, 2003, 20(3): 88-91.

XING Hong-yan . Oscillation of Second Order Half-linear Retarded Equations by Riccatis Methods[J]. Journal of Guangdong University of Technology, 2003, 20(3): 88-91.

[1] Ereb L.Oscillation criteria for second order non-linear delay equations. Canadian Mathematical Bulletin . 1973

[2] Wong P J Y,Agarwal R P.Oscillation theorems and existence criteria of asymptotically monotone solutions for second order differential equations. Dynamic Systems and Applications . 1995

[3] Hong H L,Lian W C,Yeh C C.The oscillation of half-linear differential equations with an oscillatory coefficient. Mathematical and Computer Modelling . 1996

[4] Agarwal R P,Shieh S L,Yeh C C.Oscillation criteria for second order retarded differential equations. Mathematical and Computer Modelling . 1997

[5] Hsu H B,Yeh C C.Oscillation theorems for second order half-linear differential equations. Applied Mathematics Letters . 1996

[6] Manojlovic J V.Oscillation criteria for second order half-linear differential equations. Mathematical and Computer Modelling . 1999

[7] Li H J,Yeh C C.Nonoscillation criteria for second order half-linear differential equations. Applied Mathematics Letters . 1995

Metrics

Viewed

Full text

Abstract

Cited

Shared

Discussed