Oscillation of certain partial difference equations
We first obtain sufficiency conditions for the oscillation of all solutions of linear partial difference equation aAm+1,n+1+bAm+1,n+cAm,n+1−dAm,n+Pm,nAm−k,n−1=0. Next, we establish a linearized oscillation result for the nonlinear partial difference equation Am+1,n+1+Am+1,n+Am,n+1−Am,n+Pm,n f(Am−k...
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Hindawi Limited
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/S1026022698000235 |
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doaj-9375735519534a1d90e774b6711cfed02020-11-24T21:04:40ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X1998-01-012425726510.1155/S1026022698000235Oscillation of certain partial difference equationsSung Kyu Choi0Bing Gen Zhang1Department of Mathematics, Chungnam National University, Taejon 305-764, KoreaDepartment of Applied Mathematics, Ocean University of Qingdao, Qingdao 266003, ChinaWe first obtain sufficiency conditions for the oscillation of all solutions of linear partial difference equation aAm+1,n+1+bAm+1,n+cAm,n+1−dAm,n+Pm,nAm−k,n−1=0. Next, we establish a linearized oscillation result for the nonlinear partial difference equation Am+1,n+1+Am+1,n+Am,n+1−Am,n+Pm,n f(Am−k,n−l)=0.http://dx.doi.org/10.1155/S1026022698000235Linear and nonlinear partial difference equationsOscillation. |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Sung Kyu Choi Bing Gen Zhang |
spellingShingle |
Sung Kyu Choi Bing Gen Zhang Oscillation of certain partial difference equations Discrete Dynamics in Nature and Society Linear and nonlinear partial difference equations Oscillation. |
author_facet |
Sung Kyu Choi Bing Gen Zhang |
author_sort |
Sung Kyu Choi |
title |
Oscillation of certain partial difference equations |
title_short |
Oscillation of certain partial difference equations |
title_full |
Oscillation of certain partial difference equations |
title_fullStr |
Oscillation of certain partial difference equations |
title_full_unstemmed |
Oscillation of certain partial difference equations |
title_sort |
oscillation of certain partial difference equations |
publisher |
Hindawi Limited |
series |
Discrete Dynamics in Nature and Society |
issn |
1026-0226 1607-887X |
publishDate |
1998-01-01 |
description |
We first obtain sufficiency conditions for the oscillation of all solutions of linear partial difference equation aAm+1,n+1+bAm+1,n+cAm,n+1−dAm,n+Pm,nAm−k,n−1=0. Next, we establish a linearized oscillation result for the nonlinear partial difference equation Am+1,n+1+Am+1,n+Am,n+1−Am,n+Pm,n f(Am−k,n−l)=0. |
topic |
Linear and nonlinear partial difference equations Oscillation. |
url |
http://dx.doi.org/10.1155/S1026022698000235 |
work_keys_str_mv |
AT sungkyuchoi oscillationofcertainpartialdifferenceequations AT binggenzhang oscillationofcertainpartialdifferenceequations |
_version_ |
1716770275870113792 |