| Title:
|
Periodic solutions of nonlinear second-order differential equations with parameter (English) |
| Author:
|
Staněk, Svatoslav |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
117 |
| Issue:
|
4 |
| Year:
|
1992 |
| Pages:
|
337-348 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper establishes effective sufficient conditions for existence and uniqueness of periodic solutions of a one-parameter differential equation $u''-q(t)y=f(t,y,y',\mu)$ vanishing at an arbitrary but fixed point. (English) |
| Keyword:
|
periodic solution |
| Keyword:
|
nonlinear second-order differential equation with a parameter |
| Keyword:
|
Schauder fixed point theorem |
| MSC:
|
34B15 |
| MSC:
|
34C25 |
| idZBL:
|
Zbl 0771.34034 |
| idMR:
|
MR1197284 |
| DOI:
|
10.21136/MB.1992.126060 |
| . |
| Date available:
|
2009-09-24T20:54:43Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126060 |
| . |
| Reference:
|
[1] E. F. Beckenbach, R. Bellman: Inequalities.Moscow, 1965. (In Russian.) Zbl 0186.09605, MR 0192009 |
| Reference:
|
[2] S. Staněk: Three-point boundary value problem of nonlinear second order differential equation with parameter.Czechoslovak Math. J. 42(117) (1992), 241-256. MR 1179496 |
| . |
