Oscillation theorems for damped elliptic differential equations of second order



Hiroshima Mathematical Journal

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

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2008 © Hiroshima University, Department of Mathematics