| Title:
|
Limit and integral properties of principal solutions for half-linear differential equations (English) |
| Author:
|
Cecchi, Mariella |
| Author:
|
Došlá, Zuzana |
| Author:
|
Marini, Mauro |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
43 |
| Issue:
|
1 |
| Year:
|
2007 |
| Pages:
|
75-86 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Some asymptotic properties of principal solutions of the half-linear differential equation \[ (a(t)\Phi (x^{\prime }))^{\prime }+b(t)\Phi (x)=0\,, \qquad \mathrm {(*)}\] $\Phi (u)=|u|^{p-2}u$, $p>1$, is the $p$-Laplacian operator, are considered. It is shown that principal solutions of (*) are, roughly speaking, the smallest solutions in a neighborhood of infinity, like in the linear case. Some integral characterizations of principal solutions of (), which completes previous results, are presented as well. (English) |
| Keyword:
|
half-linear equation |
| Keyword:
|
principal solution |
| Keyword:
|
limit characterization |
| Keyword:
|
integral characterization |
| MSC:
|
34C10 |
| MSC:
|
34C11 |
| idZBL:
|
Zbl 1164.34011 |
| idMR:
|
MR2310127 |
| . |
| Date available:
|
2008-06-06T22:50:37Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/108052 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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