| Title:
|
Localization of nonsmooth lower and upper functions for periodic boundary value problems (English) |
| Author:
|
Rachůnková, Irena |
| Author:
|
Tvrdý, Milan |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
127 |
| Issue:
|
4 |
| Year:
|
2002 |
| Pages:
|
531-545 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we present conditions ensuring the existence and localization of lower and upper functions of the periodic boundary value problem $u^{\prime \prime }+k\,u=f(t,u)$, $ u(0)=u(2\,\pi )$, $u^{\prime }(0)=u^{\prime }(2\pi )$, $k\in \mathbb{R}\hspace{0.56905pt}$, $k\ne 0.$ These functions are constructed as solutions of some related generalized linear problems and can be nonsmooth in general. (English) |
| Keyword:
|
second order nonlinear ordinary differential equation |
| Keyword:
|
periodic problem |
| Keyword:
|
lower and upper functions |
| Keyword:
|
generalized linear differential equation |
| MSC:
|
34B15 |
| MSC:
|
34C25 |
| idZBL:
|
Zbl 1017.34013 |
| idMR:
|
MR1942639 |
| DOI:
|
10.21136/MB.2002.133955 |
| . |
| Date available:
|
2009-09-24T22:04:47Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/133955 |
| . |
| Reference:
|
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