| Title:
|
Periodic BVP with $\phi$-Laplacian and impulses (English) |
| Author:
|
Polášek, Vladimír |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
44 |
| Issue:
|
1 |
| Year:
|
2005 |
| Pages:
|
131-150 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The paper deals with the impulsive boundary value problem \[ \frac{d}{dt}[\phi (y^{\prime }(t))] = f(t, y(t), y^{\prime }(t)), \quad y(0) = y(T),\quad y^{\prime }(0) = y^{\prime }(T), y(t_{i}+) = J_{i}(y(t_{i})), \quad y^{\prime }(t_{i}+) = M_{i}(y^{\prime }(t_{i})),\quad i = 1, \ldots m. \] The method of lower and upper solutions is directly applied to obtain the results for this problems whose right-hand sides either fulfil conditions of the sign type or satisfy one-sided growth conditions. (English) |
| Keyword:
|
$\phi $-Laplacian |
| Keyword:
|
impulses |
| Keyword:
|
lower and upper functions |
| Keyword:
|
periodic boundary value problem |
| MSC:
|
34B37 |
| MSC:
|
34C25 |
| idZBL:
|
Zbl 1097.34021 |
| idMR:
|
MR2218573 |
| . |
| Date available:
|
2009-08-21T06:50:08Z |
| Last updated:
|
2012-05-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/133377 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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