| Title:
|
On an antiperiodic type boundary value problem for first order linear functional differential equations (English) |
| Author:
|
Hakl, R. |
| Author:
|
Lomtatidze, A. |
| Author:
|
Šremr, J. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
38 |
| Issue:
|
2 |
| Year:
|
2002 |
| Pages:
|
149-160 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Nonimprovable, in a certain sense, sufficient conditions for the unique solvability of the boundary value problem \[ u^{\prime }(t)=\ell (u)(t)+q(t),\qquad u(a)+\lambda u(b)=c \] are established, where $\ell :C([a,b];R)\rightarrow L([a,b];R)$ is a linear bounded operator, $q\in L([a,b];R)$, $\lambda \in R_+$, and $c\in R$. The question on the dimension of the solution space of the homogeneous problem \[ u^{\prime }(t)=\ell (u)(t),\qquad u(a)+\lambda u(b)=0 \] is discussed as well. (English) |
| Keyword:
|
linear functional differential equation |
| Keyword:
|
antiperiodic type BVP |
| Keyword:
|
solvability and unique solvability |
| MSC:
|
34K13 |
| idZBL:
|
Zbl 1087.34042 |
| idMR:
|
MR1909595 |
| . |
| Date available:
|
2008-06-06T22:30:13Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107828 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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