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: | , |
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| Format: | Article |
| Language: | English |
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Wiley
1998-01-01
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| Series: | Discrete Dynamics in Nature and Society |
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| Online Access: | http://dx.doi.org/10.1155/S1026022697000265 |
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| author | B. G. Zhang S. T. Liu |
| author_facet | B. G. Zhang S. T. Liu |
| author_sort | B. G. Zhang |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-985e00f94a72479a9be4823219d71034 |
| institution | OA Journals |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 1998-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-985e00f94a72479a9be4823219d710342025-08-20T02:09:59ZengWileyDiscrete 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. |
| 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. |
| title | 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_short | 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 |
| topic | Partial difference equations Oscillation Characteristic equation. |
| url | http://dx.doi.org/10.1155/S1026022697000265 |
| work_keys_str_mv | AT bgzhang necessaryandsufficientconditionsforoscillationsoflineardelaypartialdifferenceequations AT stliu necessaryandsufficientconditionsforoscillationsoflineardelaypartialdifferenceequations |