| Title:
|
A remark on second order functional-differential systems (English) |
| Author:
|
Šeda, Valter |
| Author:
|
Belohorec, Štefan |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
29 |
| Issue:
|
2 |
| Year:
|
1993 |
| Pages:
|
169-176 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
It is proved that under some conditions the set of solutions to initial value problem for second order functional differential system on an unbounded interval is a compact $R_\delta $-set and hence nonvoid, compact and connected set in a Fréchet space. The proof is based on a Kubáček’s theorem. (English) |
| Keyword:
|
initial value problem |
| Keyword:
|
functional differential system |
| Keyword:
|
$R_\delta$-set |
| Keyword:
|
Kubáček’s theorem |
| Keyword:
|
Fréchet space |
| MSC:
|
34K05 |
| MSC:
|
34K25 |
| MSC:
|
54H25 |
| idZBL:
|
Zbl 0804.34060 |
| idMR:
|
MR1263119 |
| . |
| Date available:
|
2008-06-06T21:24:41Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107480 |
| . |
| Reference:
|
[1] Dugundji, J., Granas, A.: Fixed point theory.PWN, Warszawa, 1982. MR 0660439 |
| Reference:
|
[2] Kubáček, Z.: Remarks on the paper of K. Czarnowski and T. Pruszko “On the structure of fixed point sets...".Preprint. |
| . |
