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Article: Positive Solution for Discrete Three-Point Boundary Value Problems
| Title | Positive Solution for Discrete Three-Point Boundary Value Problems |
|---|---|
| Authors | |
| Keywords | Discrete three-point boundary value problem Green’s function Operator Cone |
| Issue Date | 2004 |
| Publisher | Austral Internet Publishing. The Journal's web site is located at http://ajmaa.org |
| Citation | The Australian Journal of Mathematical Analysis and Applications, 2004, v. 1 n. 2, article no. 9 How to Cite? |
| Abstract | This paper is concerned with the existence of positive solution to the discrete three-point boundary value problem
▽△u(k) + λf(k, u(k)) = 0, k 2 {1, . . . ,N},
u(0) = 0, u(N + 1) = αu(l)
where λ > 0, l ε {1, · · · ,N}, and f is allowed to change sign. By constructing available
operators, we shall apply the method of lower solution and the method of topology degree to
obtain positive solution of the above problem for λ on a suitable interval. The associated Green’s
function is first given. |
| Persistent Identifier | http://hdl.handle.net/10722/75298 |
| ISSN | 2023 SCImago Journal Rankings: 0.197 |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Cheung, WS | en_HK |
| dc.contributor.author | Ren, J | en_HK |
| dc.date.accessioned | 2010-09-06T07:09:48Z | - |
| dc.date.available | 2010-09-06T07:09:48Z | - |
| dc.date.issued | 2004 | en_HK |
| dc.identifier.citation | The Australian Journal of Mathematical Analysis and Applications, 2004, v. 1 n. 2, article no. 9 | en_HK |
| dc.identifier.issn | 1449-5910 | en_HK |
| dc.identifier.uri | http://hdl.handle.net/10722/75298 | - |
| dc.description.abstract | This paper is concerned with the existence of positive solution to the discrete three-point boundary value problem ▽△u(k) + λf(k, u(k)) = 0, k 2 {1, . . . ,N}, u(0) = 0, u(N + 1) = αu(l) where λ > 0, l ε {1, · · · ,N}, and f is allowed to change sign. By constructing available operators, we shall apply the method of lower solution and the method of topology degree to obtain positive solution of the above problem for λ on a suitable interval. The associated Green’s function is first given. | - |
| dc.language | eng | en_HK |
| dc.publisher | Austral Internet Publishing. The Journal's web site is located at http://ajmaa.org | en_HK |
| dc.relation.ispartof | The Australian Journal of Mathematical Analysis and Applications | en_HK |
| dc.subject | Discrete three-point boundary value problem | - |
| dc.subject | Green’s function | - |
| dc.subject | Operator | - |
| dc.subject | Cone | - |
| dc.title | Positive Solution for Discrete Three-Point Boundary Value Problems | en_HK |
| dc.type | Article | en_HK |
| dc.identifier.email | Cheung, WS: wscheung@hku.hk | en_HK |
| dc.identifier.email | Ren, J: renjl@amss.ac.cn | en_HK |
| dc.identifier.authority | Cheung, WS=rp00678 | en_HK |
| dc.description.nature | link_to_subscribed_fulltext | - |
| dc.identifier.hkuros | 98164 | en_HK |
| dc.identifier.volume | 1 | - |
| dc.identifier.issue | 2 | - |
| dc.identifier.spage | article no. 9 | - |
| dc.identifier.epage | article no. 9 | - |
| dc.publisher.place | Australia | - |