| Title:
|
Non-autonomous vector integral equations with discontinuous right-hand side (English) |
| Author:
|
Cubiotti, Paolo |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
42 |
| Issue:
|
2 |
| Year:
|
2001 |
| Pages:
|
319-329 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We deal with the integral equation $u(t)=f(t,\int_I g(t,z)u(z)\,dz)$, with $t\in I:=[0,1]$, $f:I\times \Bbb R^n \to \Bbb R^n$ and $g:I\times I\to[0,+\infty[$. We prove an existence theorem for solutions $u\in L^s(I,\Bbb R^n)$, $s\in \,]1,+\infty]$, where $f$ is not assumed to be continuous in the second variable. Our result extends a result recently obtained for the special case where $f$ does not depend explicitly on the first variable $t\in I$. (English) |
| Keyword:
|
vector integral equations |
| Keyword:
|
discontinuity |
| Keyword:
|
multifunctions |
| Keyword:
|
operator inclusions |
| MSC:
|
45G10 |
| MSC:
|
45P05 |
| MSC:
|
47H15 |
| MSC:
|
47J05 |
| MSC:
|
47N20 |
| idZBL:
|
Zbl 1055.45004 |
| idMR:
|
MR1832150 |
| . |
| Date available:
|
2009-01-08T19:10:15Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119246 |
| . |
| Reference:
|
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| . |
