Averaging technique for the oscillation of second order damped elliptic equations |
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| Authors: | Zhi Ting Xu |
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| Institution: | (1) School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, P. R. China |
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| Abstract: | By using the averaging technique, we establish some oscillation theorems for the second order damped elliptic differential
equation which extend and improve some known results in the literature.
Supported partly by the NFS of China (10571064) and the NSF of Guangdong Province (04010364) |
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| Keywords: | oscillation averaging technique second order elliptic differential equation damped |
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![$$
\sum\limits_{i,j = 1}^N {D_i a_{ij} (x)D_j y] + } \sum\limits_{i = 1}^N {b_i (x)D_j y + c(x)f(y) = 0,}
$$](/content/e407151153265302/10114_2007_5397_Article_Equ1.gif)