| Title:
|
On a fourth order periodic boundary value problem (English) |
| Author:
|
Pinda, Ľudovít |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
30 |
| Issue:
|
1 |
| Year:
|
1994 |
| Pages:
|
1-8 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Existence and uniqueness of the solution to a fourth order nonlinear vector periodic boundary value problem is proved by using the estimates for derivatives of the Green function for the corresponding homogenous scalar problem (English) |
| Keyword:
|
symmetric operator |
| Keyword:
|
Green function |
| Keyword:
|
generalized Banach space |
| Keyword:
|
Lipschitz condition |
| Keyword:
|
eigenvalue |
| MSC:
|
34B10 |
| MSC:
|
34B15 |
| MSC:
|
34B27 |
| MSC:
|
34C25 |
| MSC:
|
47N20 |
| idZBL:
|
Zbl 0808.34020 |
| idMR:
|
MR1282107 |
| . |
| Date available:
|
2008-06-06T21:25:14Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107489 |
| . |
| Reference:
|
[1] Greguš, M., Švec, M., Šeda, V.: Obyčajné diferenciálne rovnice.Alfa, 1985. |
| Reference:
|
[2] Šeda, V.: On a vector multipoint boundary value problem.Archivum Mathematicum Brno 22 (1986), no. 2, 75–92. MR 0868122 |
| Reference:
|
[3] Zajacová, Ĺ.: The solution of the two-point boundary value problem for a nonlinear differential equation of the third order.Math. Slovaca 36 (1986), no. 4, 345–357. MR 0871775 |
| . |
