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...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1998-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S1026022698000235 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832564001176813568 |
|---|---|
| author | Sung Kyu Choi Bing Gen Zhang |
| author_facet | Sung Kyu Choi Bing Gen Zhang |
| author_sort | Sung Kyu Choi |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-9375735519534a1d90e774b6711cfed0 |
| institution | Kabale University |
| 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-9375735519534a1d90e774b6711cfed02025-02-03T01:12:08ZengWileyDiscrete 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. |
| 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. |
| title | 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_short | Oscillation of certain partial difference equations |
| title_sort | oscillation of certain partial difference equations |
| 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 |