Some Oscillatory Properties for a Class of Partial Difference Equations
Authors
Huili Ma
 Department of Mathematics, Northwest Normal University, Lanzhou Gansu 730070, P. R. China.
Jiaofeng Wang
 Department of Mathematics, Northwest Normal University, Lanzhou Gansu 730070, P. R. China.
Abstract
In this paper we study the oscillatory property of solutions for a class of partial difference equation with
constant coefficients. In order to study the oscillation results, we find the regions of nonexistence of positive
roots of its characteristic equation which is equivalent to the oscillation results. We derive some necessary
and sufficient conditions by means of the envelope theory.
Keywords
 Partial difference equation
 oscillation
 envelope
 characteristic equation.
MSC
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