具有“弱积分小”系数的二阶椭圆型偏微分方程解的振动性质

徐志庭

系统科学与数学 ›› 1998, Vol. 18 ›› Issue (4) : 478-484.

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PDF(251 KB)
系统科学与数学 ›› 1998, Vol. 18 ›› Issue (4) : 478-484. DOI: 10.12341/jssms09867
论文

具有“弱积分小”系数的二阶椭圆型偏微分方程解的振动性质

    徐志庭
作者信息 +

OSCILLATION OF SECOND ORDER ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS WITH A

    Xu Zhiting
Author information +
文章历史 +

摘要

本文考虑二阶非线性椭圆型偏微分方程解的振动性质,得到了在具有“弱积分小”系数条件下,所有解均振动的充分准则,这些结果在很大程度上改进和推广了具有“积分小”系数的二阶常微分方程的振动结果.

Abstract

In this paper, we consider the following second order nonlinear elliptic partial differential euqations with a "weakly integrally small" coefficient We obtain sufficient conditions for all solutions of (1) to be oscillatory. Particularly, these r

关键词

非线性椭圆型偏微分方程 / 振动 / “弱积分小

Key words

Second order nonlinear elliptic equation / oscillatory solution /

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徐志庭. 具有“弱积分小”系数的二阶椭圆型偏微分方程解的振动性质. 系统科学与数学, 1998, 18(4): 478-484. https://doi.org/10.12341/jssms09867
Xu Zhiting. OSCILLATION OF SECOND ORDER ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS WITH A. Journal of Systems Science and Mathematical Sciences, 1998, 18(4): 478-484 https://doi.org/10.12341/jssms09867
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