二阶拟线性椭圆型方程振动性的积分平均方法

数学季刊 ›› 2003, Vol. 18 ›› Issue (4): 349-357.

二阶拟线性椭圆型方程振动性的积分平均方法

1．Department of Mathematics ,South China Normal University ,Guangz hou 510631,China； 2． Depart - ment of Applied Mathematics ,South China University of Technology ,Guangz hou 510641,China）

收稿日期:2001-09-20 出版日期:2003-12-30 发布日期:2024-04-01
作者简介:XU Zhi-ting（1963－）,male ,native of Xuancheng ,Anhui ,an associate professor of South China Normal University ,Ph．D．,engages in differential equation； MA Dong-kui（1964－）,male ,native of Qinhuangdao ,Hebei ,an associ- ate professor of South China University of Technology ,Ph．D．,engages in dynamical systems .
基金资助:
SupportedbytheNaturalScienceFoundationofGuangdongProvince( 0 2 0 14 6)；

Oscillation Criteria Related to Integral Averaging Technique for Quasilinear Elliptic Equations

1．Department of Mathematics ,South China Normal University ,Guangz hou 510631,China； 2． Depart - ment of Applied Mathematics ,South China University of Technology ,Guangz hou 510641,China）

Received:2001-09-20 Online:2003-12-30 Published:2024-04-01
About author:XU Zhi-ting（1963－）,male ,native of Xuancheng ,Anhui ,an associate professor of South China Normal University ,Ph．D．,engages in differential equation； MA Dong-kui（1964－）,male ,native of Qinhuangdao ,Hebei ,an associ- ate professor of South China University of Technology ,Ph．D．,engages in dynamical systems .
Supported by:
SupportedbytheNaturalScienceFoundationofGuangdongProvince( 0 2 0 14 6)；

摘要/Abstract

摘要： Sufficient conditions are obtained for oscillation of certain quasilinear elliptic equations ... ,where Ωis an exterior domain ,m ＞1,and p（x）is an alternating function． The integral averaging technique is employed to establish our results .

关键词: oscillation, quasilinear elliptic equations, Riccati inequality

Abstract: Sufficient conditions are obtained for oscillation of certain quasilinear elliptic equations ... ,where Ωis an exterior domain ,m ＞1,and p（x）is an alternating function． The integral averaging technique is employed to establish our results .

Key words: oscillation, quasilinear elliptic equations, Riccati inequality

中图分类号:

O175.25

徐志庭, 马东魁 . 二阶拟线性椭圆型方程振动性的积分平均方法[J]. 数学季刊, 2003, 18(4): 349-357.

XU Zhi-ting , MA Dong-kui. Oscillation Criteria Related to Integral Averaging Technique for Quasilinear Elliptic Equations[J]. Chinese Quarterly Journal of Mathematics, 2003, 18(4): 349-357.