Oscillation of certain partial difference equations

Sung Kyu Choi and Bing Gen Zhang

Discrete Dynamics in Nature and Society, 1998, vol. 2, 1-9

Abstract:

We first obtain sufficiency conditions for the oscillation of all solutions of linear partial difference equation a A m + 1 , n + 1 + b A m + 1 , n + c A m , n + 1 − d A m , n + P m , n A m − k , n − 1 = 0 . Next, we establish a linearized oscillation result for the nonlinear partial difference equation A m + 1 , n + 1 + A m + 1 , n + A m , n + 1 − A m , n + P m , n f ( A m − k , n − l ) = 0 .

Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:723596

DOI: 10.1155/S1026022698000235

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