| Title:
|
On the existence and the stability of solutions for higher-order semilinear Dirichlet problems (English) |
| Author:
|
Galewski, M. |
| Author:
|
Płócienniczak, M. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
57 |
| Issue:
|
2 |
| Year:
|
2007 |
| Pages:
|
647-669 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We investigate the existence and stability of solutions for higher-order two-point boundary value problems in case the differential operator is not necessarily positive definite, i.e. with superlinear nonlinearities. We write an abstract realization of the Dirichlet problem and provide abstract existence and stability results which are further applied to concrete problems. (English) |
| Keyword:
|
Dirichlet problem |
| MSC:
|
34B15 |
| MSC:
|
35J20 |
| MSC:
|
35J40 |
| MSC:
|
35J60 |
| MSC:
|
47N20 |
| idZBL:
|
Zbl 1174.35029 |
| idMR:
|
MR2337620 |
| . |
| Date available:
|
2009-09-24T11:48:14Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128195 |
| . |
| Reference:
|
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| Reference:
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| . |
