| Title:
|
Existence theory for single and multiple solutions to singular positone discrete Dirichlet boundary value problems to the one-dimension $p$-Laplacian (English) |
| Author:
|
Jiang, Daqing |
| Author:
|
Zhang, Lili |
| Author:
|
O'Regan, Donal |
| Author:
|
Agarwal, Ravi P. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
40 |
| Issue:
|
4 |
| Year:
|
2004 |
| Pages:
|
367-381 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we establish the existence of single and multiple solutions to the positone discrete Dirichlet boundary value problem \[ \left\lbrace \begin{array}{l} \Delta \big [\phi (\Delta u(t-1))\big ]+ q(t) f(t,u(t))=0\,,\quad t\in \lbrace 1,2,\dots ,T\rbrace \\[3pt] u(0)=u(T+1)=0\,, \end{array} \right. \] where $\phi (s) = |s|^{p-2}s$, $p>1$ and our nonlinear term $f(t,u)$ may be singular at $u=0$. (English) |
| Keyword:
|
multiple solutions |
| Keyword:
|
singular |
| Keyword:
|
existence |
| Keyword:
|
discrete boundary value problem |
| MSC:
|
34B15 |
| MSC:
|
39A11 |
| MSC:
|
39A12 |
| idZBL:
|
Zbl 1113.39022 |
| idMR:
|
MR2129959 |
| . |
| Date available:
|
2008-06-06T22:44:26Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107921 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
