| Title:
|
Asymptotic behavior of $T$-periodic solutions of singularly perturbed second-order differential equation (English) |
| Author:
|
Vrábeľ, Róbert |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
121 |
| Issue:
|
1 |
| Year:
|
1996 |
| Pages:
|
73-76 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We examine the asymptotic behavior of $T$-periodic solutions of the singularly perturbed differential equation $y"=f(t,y)$ as a small parameter $\u$ tends to zero. (English) |
| Keyword:
|
singularly perturbed equation |
| Keyword:
|
periodic solution |
| Keyword:
|
$T$-periodic solution |
| MSC:
|
34C25 |
| MSC:
|
34E15 |
| MSC:
|
35E10 |
| idZBL:
|
Zbl 0863.35026 |
| idMR:
|
MR1388177 |
| DOI:
|
10.21136/MB.1996.125946 |
| . |
| Date available:
|
2009-09-24T21:15:41Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125946 |
| . |
| Reference:
|
[1] S. Fučík, V. Lovicar: Periodic solutions of the equation $x"(t)+g(x(t)) = p(t)$.Časopis Pěst. Mat. 100 (1975), 160-175. MR 0385239 |
| Reference:
|
[2] S. Fučík, J. Mawhin: Periodic solutions of some nonlinear differential equations of higher order.Časopis Pěst. Mat. 100 (1975), 276-283. MR 0385240 |
| Reference:
|
[3] J. Mawhin: Nonlinear perturbations of Fredholm mappings in normed spaces and applications to differential equations.Trabalho de Matematica, No. 61. Universidad de Brasilia, 1974. |
| Reference:
|
[4] V. Šeda: On some non-linear boundary value problems for ordinary differential equations.Arch. Math. (Brno) 25 (1989), 207-222. MR 1188065 |
| . |
