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March 2008 Oscillation theorems for damped elliptic differential equations of second order
Zhiting Xu
Hiroshima Math. J. 38(1): 1-17 (March 2008). DOI: 10.32917/hmj/1207580341

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.

Citation

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Zhiting Xu. "Oscillation theorems for damped elliptic differential equations of second order." Hiroshima Math. J. 38 (1) 1 - 17, March 2008. https://doi.org/10.32917/hmj/1207580341

Information

Published: March 2008
First available in Project Euclid: 7 April 2008

zbMATH: 1144.35323
MathSciNet: MR2397376
Digital Object Identifier: 10.32917/hmj/1207580341

Subjects:
Primary: 34C10 , 35B05 , 35J60

Keywords: averaging technique , elliptic differential equation , ‎oscillation‎ , second order

Rights: Copyright © 2008 Hiroshima University, Mathematics Program

Vol.38 • No. 1 • March 2008
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