| Title:
|
Topological properties of the solution set of integrodifferential inclusions (English) |
| Author:
|
Avgerinos, Evgenios P. |
| Author:
|
Papageorgiou, Nikolaos S. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
36 |
| Issue:
|
3 |
| Year:
|
1995 |
| Pages:
|
429-442 |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we examine nonlinear integrodifferential inclusions in $\Bbb R^N$. For the nonconvex problem, we show that the solution set is a retract of the Sobolev space $W^{1,1}(T,{\Bbb R^N})$ and the retraction can be chosen to depend continuously on a parameter $\lambda $. Using that result we show that the solution multifunction admits a continuous selector. For the convex problem we show that the solution set is a retract of $C(T,{\Bbb R^N})$. Finally we prove some continuous dependence results. (English) |
| Keyword:
|
retract |
| Keyword:
|
absolute retract |
| Keyword:
|
path-connected |
| Keyword:
|
Vietoris continuous |
| Keyword:
|
$h$-continuous |
| Keyword:
|
orientor field |
| MSC:
|
34A60 |
| MSC:
|
34K30 |
| MSC:
|
45K05 |
| idZBL:
|
Zbl 0836.34019 |
| idMR:
|
MR1364483 |
| . |
| Date available:
|
2009-01-08T18:19:07Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118771 |
| . |
| Reference:
|
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| . |
