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

This paper is concerned with the linear delay partial difference equation Am,n=∑i=1upiAm−ki,n−li+∑j=1vqjAm+τj,n+σj, where pi and qj are r×r matrices, Am,n=(am,n1,am,n2, …,am,nr)T, ki, li , τj and σj are nonnegative integers, u and v are positive integers. Sufficient and necessary conditions for a...

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Main Authors: B. G. Zhang, S. T. Liu
Format: Article
Language:English
Published: Hindawi Limited 1998-01-01
Series:Discrete Dynamics in Nature and Society
Subjects:
Online Access:http://dx.doi.org/10.1155/S1026022697000265
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spelling doaj-985e00f94a72479a9be4823219d710342020-11-24T22:52:43ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X1998-01-011426526810.1155/S1026022697000265Necessary and sufficient conditions for oscillations of linear delay partial difference equationsB. G. Zhang0S. T. Liu1Department of Applied Mathematics, Ocean University of Qingdao, Qingdao 266003, ChinaDepartment of Mathematics, Binzhou Normal College, Binzhou, Shandong, 256604, ChinaThis paper is concerned with the linear delay partial difference equation Am,n=∑i=1upiAm−ki,n−li+∑j=1vqjAm+τj,n+σj, where pi and qj are r×r matrices, Am,n=(am,n1,am,n2, …,am,nr)T, ki, li , τj and σj 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.http://dx.doi.org/10.1155/S1026022697000265Partial difference equationsOscillationCharacteristic equation.
collection DOAJ
language English
format Article
sources DOAJ
author B. G. Zhang
S. T. Liu
spellingShingle B. G. Zhang
S. T. Liu
Necessary and sufficient conditions for oscillations of linear delay partial difference equations
Discrete Dynamics in Nature and Society
Partial difference equations
Oscillation
Characteristic equation.
author_facet B. G. Zhang
S. T. Liu
author_sort B. G. Zhang
title Necessary and sufficient conditions for oscillations of linear delay partial difference equations
title_short Necessary and sufficient conditions for oscillations of linear delay partial difference equations
title_full Necessary and sufficient conditions for oscillations of linear delay partial difference equations
title_fullStr Necessary and sufficient conditions for oscillations of linear delay partial difference equations
title_full_unstemmed Necessary and sufficient conditions for oscillations of linear delay partial difference equations
title_sort necessary and sufficient conditions for oscillations of linear delay partial difference equations
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 1998-01-01
description This paper is concerned with the linear delay partial difference equation Am,n=∑i=1upiAm−ki,n−li+∑j=1vqjAm+τj,n+σj, where pi and qj are r×r matrices, Am,n=(am,n1,am,n2, …,am,nr)T, ki, li , τj and σj 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.
topic Partial difference equations
Oscillation
Characteristic equation.
url http://dx.doi.org/10.1155/S1026022697000265
work_keys_str_mv AT bgzhang necessaryandsufficientconditionsforoscillationsoflineardelaypartialdifferenceequations
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