Oscillation theorems for damped elliptic differential equations of second order
Zhiting Xu
Source: Hiroshima Math. J. Volume 38, Number 1 (2008), 1-17.
Abstract
Oscillation theorems for the damped elliptic differential equation of second order
$\sum_{i, j=1}^{N}D_i[\,a_{ij}(x)D_jy\,]+\sum_{i=1}^{N}b_i(x)D_iy+c(x,y)=0$
are obtained. The results are extensions of averaging techniques due to Coles and Kamenev, and include earlier known results in literature.
Primary Subjects: 35B05, 35J60, 34C10
Keywords: oscillation; averaging technique; elliptic differential equation; second order
Full-text: Access granted (open access)
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.hmj/1207580341
Hiroshima Mathematical Journal