| Title:
|
De la Vallée Poussin type inequality and eigenvalue problem for generalized half-linear differential equation (English) |
| Author:
|
Báňa, Libor |
| Author:
|
Došlý, Ondřej |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
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0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
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50 |
| Issue:
|
4 |
| Year:
|
2014 |
| Pages:
|
193-203 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We study the generalized half-linear second order differential equation via the associated Riccati type differential equation and Prüfer transformation. We establish a de la Vallée Poussin type inequality for the distance of consecutive zeros of a nontrivial solution and this result we apply to the “classical” half-linear differential equation regarded as a perturbation of the half-linear Euler differential equation with the so-called critical oscillation constant. In the second part of the paper we study a Dirichlet eigenvalue problem associated with the investigated half-linear equation. (English) |
| Keyword:
|
generalized half-linear differential equation |
| Keyword:
|
de la Vallée Poussin inequality |
| Keyword:
|
half-linear Euler differential equation |
| Keyword:
|
Dirichlet eigenvalue problem |
| MSC:
|
34C10 |
| idZBL:
|
Zbl 06487006 |
| idMR:
|
MR3291849 |
| DOI:
|
10.5817/AM2014-4-193 |
| . |
| Date available:
|
2014-12-09T14:39:17Z |
| Last updated:
|
2016-04-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144017 |
| . |
| Reference:
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