| Title:
|
Perturbed Hammerstein integral inclusions with solutions that change sign (English) |
| Author:
|
Infante, Gennaro |
| Author:
|
Pietramala, Paolamaria |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
50 |
| Issue:
|
4 |
| Year:
|
2009 |
| Pages:
|
591-605 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We establish new existence results for nontrivial solutions of some integral inclusions of Hammerstein type, that are perturbed with an affine functional. In order to use a theory of fixed point index for multivalued mappings, we work in a cone of continuous functions that are positive on a suitable subinterval of $[0,1]$. We also discuss the optimality of some constants that occur in our theory. We improve, complement and extend previous results in the literature. (English) |
| Keyword:
|
fixed point index |
| Keyword:
|
cone |
| Keyword:
|
nontrivial solution |
| MSC:
|
34A60 |
| MSC:
|
34B10 |
| MSC:
|
45G10 |
| MSC:
|
47H04 |
| MSC:
|
47H10 |
| MSC:
|
47H30 |
| idZBL:
|
Zbl 1212.45009 |
| idMR:
|
MR2583136 |
| . |
| Date available:
|
2009-12-22T10:04:24Z |
| Last updated:
|
2013-09-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/137449 |
| . |
| Reference:
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