| Title:
|
Quasilinear and quadratic singularly perturbed periodic boundary value problem (English) |
| Author:
|
Vrábeľ, Róbert |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
36 |
| Issue:
|
1 |
| Year:
|
2000 |
| Pages:
|
1-7 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The problem of existence and asymptotic behavior of solutions of the quasilinear and quadratic singularly perturbed periodic boundary value problem as a small parameter at highest derivative tends to zero is studied. (English) |
| Keyword:
|
singularly perturbed periodic boundary value problem |
| MSC:
|
34B15 |
| MSC:
|
34C25 |
| MSC:
|
34E15 |
| idZBL:
|
Zbl 1048.34094 |
| idMR:
|
MR1751608 |
| . |
| Date available:
|
2008-06-06T22:24:56Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107712 |
| . |
| Reference:
|
[1] Mawhin, J.: Points fixes, points critiques et problèmes aux limites.Sémin. Math. Sup. no. 92, Press Univ. Montréal, Montréal (1985). Zbl 0561.34001, MR 0789982 |
| Reference:
|
[2] Šeda, V.: On some non-linear boundary value problems for ordinary differential equations.Arch. Math. (Brno) 25 (1989), 207–222. |
| Reference:
|
[3] Vrábel’, R.: Asymptotic behavior of T-periodic solutions of singularly perturbed second-order differential equation.Mathematica Bohemica 121 (1996), 73–76. MR 1388177 |
| . |
