The oscillation of certain high order partial difference equations
by Jinfa Cheng   Yuming Chu  

Vol. 1 No. 4 (2006) P.507~P.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 $c = \pm1, i \in N =$ {$1,2,3, \dots$}.

KEYWORDS
Oscillation, partial dierence equations, Z-transformation, Characteristic equation

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 34K15, 34C10

MILESTONES

Received: 2006-04-03
Revised :
Accepted:

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