INTEGRAL OPERATOR AND OSCILLATION OF SECOND ORDER ELLIPTIC EQUATIONS

被引:2
|
作者
Xu, Zhiting [1 ]
Xing, Hongyan [2 ]
机构
[1] South China Normal Univ, Dept Math, Guangzhou 510631, Guangdong, Peoples R China
[2] Guangdong Univ Technol, Dept Appl Math, Guangzhou 510090, Guangdong, Peoples R China
来源
TAMKANG JOURNAL OF MATHEMATICS | 2005年 / 36卷 / 02期
关键词
Oscillation; elliptic differential equations; second order; integral operator;
D O I
10.5556/j.tkjm.36.2005.121
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
By using integral operator, some oscillation criteria for second order elliptic differential equation Sigma(d)(i, j = 1) D-i [A(ij) (x) D-j y] + q(x) f(y) = 0, x is an element of Omega, (E) are established. The results obtained here can be regarded as the extension of the well-known Kamenev theorem to Eq.(E).
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页码:93 / 101
页数:9
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