| Title:
|
Vector integral equations with discontinuous right-hand side (English) |
| Author:
|
Cammaroto, Filippo |
| Author:
|
Cubiotti, Paolo |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
40 |
| Issue:
|
3 |
| Year:
|
1999 |
| Pages:
|
483-490 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We deal with the integral equation $u(t)=f(\int_Ig(t,z)\,u(z)\,dz)$, with $t\in I=[0,1]$, $f:\bold R^n\to\bold R^n$ and $g:I\times I\to[0,+\infty[$. We prove an existence theorem for solutions $u\in L^\infty(I,\bold R^n)$ where the function $f$ is not assumed to be continuous, extending a result previously obtained for the case $n=1$. (English) |
| Keyword:
|
vector integral equations |
| Keyword:
|
bounded solutions |
| Keyword:
|
discontinuity |
| MSC:
|
45G10 |
| MSC:
|
47H04 |
| MSC:
|
47H15 |
| MSC:
|
47J05 |
| MSC:
|
47N20 |
| idZBL:
|
Zbl 1065.47505 |
| idMR:
|
MR1732487 |
| . |
| Date available:
|
2009-01-08T18:54:24Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119104 |
| . |
| Reference:
|
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| . |
