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2006 / December Volume 1 No.4
The oscillation of certain high order partial difference equations
Published Date
2006 / December
Title
The oscillation of certain high order partial difference equations
Author
Jinfa Cheng, Yuming Chu
Keyword
Oscillation, Partial difference equations, $Z$-transformation, Characteristic equation, Oscillation, partial dierence equations, Z-transformation, Characteristic equation
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Pagination
507-522
Abstract
In this paper, some criteria for the oscillation of the high order partial dierence equations of the form
$T^i(x_{m,n} + ax_{m-k_1, n-l_1} + bx_{m+k_2, n+l_2} = c(qx_{m-\sigma_1 , n-\gamma_1} + px_{x+ \sigma_2 , n+\gamma_2})$
are established, where $c = \pm1, i \in N =$ {$1,2,3, \dots$}.
AMS Subject
Classification
34K15, 34C10
Received
2006-04-03
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