| Title:
|
On the existence of multiple solutions for a nonlocal BVP with vector-valued response (English) |
| Author:
|
Nowakowski, Andrzej |
| Author:
|
Orpel, Aleksandra |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
56 |
| Issue:
|
2 |
| Year:
|
2006 |
| Pages:
|
621-640 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The existence of positive solutions for a nonlocal boundary-value problem with vector-valued response is investigated. We develop duality and variational principles for this problem. Our variational approach enables us to approximate solutions and give a measure of a duality gap between the primal and dual functional for minimizing sequences. (English) |
| Keyword:
|
nonlocal boundary-value problems |
| Keyword:
|
positive solutions |
| Keyword:
|
duality method |
| Keyword:
|
variational method |
| MSC:
|
34B10 |
| MSC:
|
34B15 |
| MSC:
|
34B18 |
| MSC:
|
47J05 |
| MSC:
|
47N20 |
| MSC:
|
58E30 |
| idZBL:
|
Zbl 1164.34361 |
| idMR:
|
MR2291762 |
| . |
| Date available:
|
2009-09-24T11:36:16Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128092 |
| . |
| Reference:
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