Kamenev-type Oscillation Criteria for Semilinear Elliptic Differential Equations 被引量：2

Kamenev-type Oscillation Criteria for Semilinear Elliptic Differential Equations

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摘要 Oscillation criteria for semilinear elliptic differential equations are obtained. The results are extensions of integral averaging technique of Kamenev. General means are employed to establish our results. Oscillation criteria for semilinear elliptic differential equations are obtained. The results are extensions of integral averaging technique of Kamenev. General means are employed to establish our results.

作者徐志庭邢鸿雁

机构地区 Department of Mathematics Department of Applied Mathematics

出处《Northeastern Mathematical Journal》 CSCD 2004年第2期153-160,共8页 东北数学（英文版）

关键词 OSCILLATION semilinear elliptic differential equation integral operator Riccati inequality oscillation, semilinear elliptic differential equation, integral operator, Riccati inequality

分类号 O175.10 [理学—数学]

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参考文献2

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共引文献13

1徐志庭.二阶含阻尼项椭圆型微分方程解的振动与非振动的判定[J].数学学报（中文版）,2004,47(6):1099-1106.
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同被引文献2

1ZHANG BINGGEN,ZHAO TAO,B. S. LALLI (Department of Mathematics, Ocean University of Qingdao, Qingdao 266003, China.)(Department of Mathematics, Arizona State University, U.S.A.)(Departmemt of Mathematics, University of Saskatchewan, Canada.).OSCILLATION CRITERIA FOR NONLINEAR SECOND ORDER ELLIPTIC DIFFERENTIAL EQUATIONS[J].Chinese Annals of Mathematics,Series B,1996,17(1):89-102. 被引量：12
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引证文献2

1Zhi-ting Xu.Oscillation Theorems for Nonlinear Second Order Elliptic Equations[J].Acta Mathematicae Applicatae Sinica,2007,23(4):569-578.
2林全文,庄容坤.二阶非线性椭圆型微分方程新的振动准则[J].中山大学学报（自然科学版）,2013,52(2):57-61. 被引量：2

二级引证文献2

1杨甲山.具阻尼项的高阶中立型泛函微分方程的振荡性[J].中山大学学报（自然科学版）,2014,53(3):67-72. 被引量：6
2黎小贤,杨菊,李全娣,戴丽娜.一类二阶微分方程的振动准则[J].岭南师范学院学报,2017,38(6):15-20.

1XuZhiting,JiaBaoguo,MaDongkui.INTEGRAL AVERAGING TECHNIQUE FOR OSCILLATION OF ELLIPTIC EQUATIONS OF SECOND ORDER[J].Journal of Partial Differential Equations,2003,16(3):193-203. 被引量：1
2徐志庭.ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF SECOND ORDER NONLINEAR ELLIPTIC DIFFERENTIAL EQUATIONS[J].Acta Mathematica Scientia,2001,21(1):131-136. 被引量：3
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Northeastern Mathematical Journal

2004年第2期

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