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Necessary and sufficient conditions for oscillations of delay partial difference equations

Bing Gen ZhangShu Tang Liu — 1995

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

This paper is concerned with the delay partial difference equation (1) A m + 1 , n + A m , n + 1 - A m , n + Σ i = 1 u p i A m - k i , n - l i = 0 where p i are real numbers, k i and l i are nonnegative integers, u is a positive integer. Sufficient and necessary conditions for all solutions of (1) to be oscillatory are obtained.

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