| Title:
|
The generalized boundary value problem is a Fredholm mapping of index zero (English) |
| Author:
|
Rudolf, Boris |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
31 |
| Issue:
|
1 |
| Year:
|
1995 |
| Pages:
|
55-58 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In the paper it is proved that each generalized boundary value problem for the n-th order linear differential equation generates a Fredholm mapping of index zero. (English) |
| Keyword:
|
generalized BVP |
| Keyword:
|
Fredholm mapping |
| MSC:
|
34B05 |
| MSC:
|
34B99 |
| MSC:
|
47N20 |
| idZBL:
|
Zbl 0830.34013 |
| idMR:
|
MR1342375 |
| . |
| Date available:
|
2008-06-06T21:27:57Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107524 |
| . |
| Reference:
|
[1] Hartman, P.: Ordinary differential equations.John Wiley & Sons, New York-London-Sydney, 1964. Zbl 0125.32102, MR 0171038 |
| Reference:
|
[2] Šeda, V.: Fredholm mappings and the generalized boundary value problem.Differential and Integral Equations 8 (1995), 19–40. MR 1296108 |
| Reference:
|
[3] Trenogin, V. A.: Functional analysis.Nauka, Moscow, 1980. (Russian) Zbl 0517.46001, MR 0598629 |
| . |
