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  • 标题:Necessary and sufficient conditions for oscillations of linear delay partial difference equations
  • 本地全文:下载
  • 作者:B. G. Zhang ; S. T. Liu
  • 期刊名称:Discrete Dynamics in Nature and Society
  • 印刷版ISSN:1026-0226
  • 电子版ISSN:1607-887X
  • 出版年度:1998
  • 卷号:1
  • 期号:4
  • 页码:265-268
  • DOI:10.1155/S1026022697000265
  • 出版社:Hindawi Publishing Corporation
  • 摘要:

    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.

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