| Title:
|
On periodic solutions of systems of linear functional-differential equations (English) |
| Author:
|
Kiguradze, Ivan |
| Author:
|
Půža, Bedřich |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
33 |
| Issue:
|
2 |
| Year:
|
1997 |
| Pages:
|
197-212 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper deals with the system of functional-differential equations \[ \frac{dx(t)}{dt}=p(x)(t)+q(t), \] where $p:C_\omega ({R}^n)\rightarrow L_\omega ({R}^n)$ is a linear bounded operator, $q\in L_\omega ({R}^n)$, $\omega >0$ and $C_\omega ({R}^n)$ and $L_\omega ({R}^n)$ are spaces of $n$-dimensional $\omega $-periodic vector functions with continuous and integrable on $[0,\omega ]$ components, respectively. Conditions which guarantee the existence of a unique $\omega $-periodic solution and continuous dependence of that solution on the right hand side of the system considered are established. (English) |
| Keyword:
|
linear functional-differential system |
| Keyword:
|
differential system with deviated argument |
| Keyword:
|
$\omega$-periodic solution |
| MSC:
|
34C25 |
| MSC:
|
34K05 |
| MSC:
|
34K13 |
| MSC:
|
34K15 |
| idZBL:
|
Zbl 0914.34062 |
| idMR:
|
MR1478773 |
| . |
| Date available:
|
2008-06-06T21:33:22Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107611 |
| . |
| Reference:
|
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