| Title:
|
On the generalized boundary value problem (English) |
| Author:
|
Rudolf, Boris |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
36 |
| Issue:
|
2 |
| Year:
|
2000 |
| Pages:
|
125-137 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In the paper it is proved that the generalized linear boundary value problem generates a Fredholm operator. Its index depends on the number of boundary conditions. The existence results of Landesman-Lazer type are given as an application to nonlinear problems by using dual generalized boundary value problems. (English) |
| Keyword:
|
Fredholm mapping |
| Keyword:
|
generalized BVP |
| Keyword:
|
dual problem |
| Keyword:
|
bounded nonlinearity |
| Keyword:
|
Landesman-Lazer conditions |
| MSC:
|
34B05 |
| MSC:
|
34B10 |
| MSC:
|
34B15 |
| MSC:
|
47A53 |
| MSC:
|
47J05 |
| MSC:
|
47N20 |
| idZBL:
|
Zbl 1054.34024 |
| idMR:
|
MR1761617 |
| . |
| Date available:
|
2008-06-06T22:25:32Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107725 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
[3] Landesman, E. M. and Lazer, A. C.: Nonlinear perturbations of a linear elliptic boundary value problem.J.Math.Mech. 19 (1970), 609–623. MR 0267269 |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
|
[8] Rudolf, B.: The generalized boundary value problem is a Fredholm mapping of index zero.Archivum Mathematicum 31 (1995), 55–58. Zbl 0830.34013, MR 1342375 |
| Reference:
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[9] Šeda, V.: Fredholm mappings and the generalized boundary value problem.Differential and Integral Equations 8 (1995), 19–40. MR 1296108 |
| Reference:
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[10] Šeda, V.: Generalized boundary value problems and Fredholm mappings.Nonlinear Analysis TMA 30 (1997), 1607–1616. MR 1490083 |
| Reference:
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| Reference:
|
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| Reference:
|
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| . |
