| Title:
|
An asymptotic formula for solutions of nonoscillatory half-linear differential equations (English) |
| Author:
|
Došlý, Ondřej |
| Author:
|
Řezníčková, Jana |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
47 |
| Issue:
|
1 |
| Year:
|
2011 |
| Pages:
|
69-75 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We establish a Hartman type asymptotic formula for nonoscillatory solutions of the half-linear second order differential equation
\[ \left(r(t)\Phi (y^{\prime })\right)^{\prime }+c(t)\Phi (y)=0\,,\quad \Phi (y):=|y|^{p-2}y\,,\ p>1\,. \] (English) |
| Keyword:
|
half-linear differential equation |
| Keyword:
|
asymptotic formula |
| Keyword:
|
principal solution |
| MSC:
|
34C10 |
| idZBL:
|
Zbl 1240.34176 |
| idMR:
|
MR2813547 |
| . |
| Date available:
|
2011-05-23T12:20:09Z |
| Last updated:
|
2013-09-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141510 |
| . |
| 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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| 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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| . |
