| Title:
|
Existence and multiplicity results for nonlinear second order difference equations with Dirichlet boundary conditions (English) |
| Author:
|
Bereanu, Cristian |
| Author:
|
Mawhin, Jean |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
131 |
| Issue:
|
2 |
| Year:
|
2006 |
| Pages:
|
145-160 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We use Brouwer degree to prove existence and multiplicity results for the solutions of some nonlinear second order difference equations with Dirichlet boundary conditions. We obtain in particular upper and lower solutions theorems, Ambrosetti-Prodi type results, and sharp existence conditions for nonlinearities which are bounded from below or from above. (English) |
| Keyword:
|
nonlinear difference equations |
| Keyword:
|
Ambrosetti-Prodi problem |
| Keyword:
|
Brouwer degree |
| MSC:
|
39A11 |
| MSC:
|
47H11 |
| MSC:
|
47N20 |
| idZBL:
|
Zbl 1110.39003 |
| idMR:
|
MR2242841 |
| DOI:
|
10.21136/MB.2006.134087 |
| . |
| Date available:
|
2009-09-24T22:25:06Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134087 |
| . |
| 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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| Reference:
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| . |
