Necessary and sufficient conditions for oscillations of linear delay partial difference equations

B. G. Zhang and S. T. Liu

Discrete Dynamics in Nature and Society, 1998, vol. 1, 1-4

Abstract:

This paper is concerned with the linear delay partial difference equation A m , n = ∑ i = 1 u p i A m − k i , n − l i + ∑ j = 1 v q j A m + τ j , n + σ j , where p i and q j are r × r matrices, A m , n = ( a m , n 1 , a m , n 2 , … , a m , n r ) T , k i , l i , τ j and σ j are nonnegative integers, u and v are positive integers. Sufficient and necessary conditions for all solutions of this equation to be oscillatory componentwise are obtained.

Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:240730

DOI: 10.1155/S1026022697000265

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