| Title:
|
Hille-Wintner type comparison kriteria for half-linear second order differential equations (English) |
| Author:
|
Došlý, Ondřej |
| Author:
|
Pátíková, Zuzana |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
42 |
| Issue:
|
2 |
| Year:
|
2006 |
| Pages:
|
185-194 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We establish Hille-Wintner type comparison criteria for the half-linear second order differential equation \[ \left(r(t)\Phi (x^{\prime })\right)^{\prime }+c(t)\Phi (x)=0,\quad \Phi (x)=|x|^{p-2}x\,,\ p>1\,, \] where this equation is viewed as a perturbation of another equation of the same form. (English) |
| Keyword:
|
half-linear differential equation |
| Keyword:
|
Hille-Wintner comparison criterion |
| Keyword:
|
Riccati equation |
| Keyword:
|
principal solution |
| MSC:
|
34C10 |
| MSC:
|
34C15 |
| idZBL:
|
Zbl 1164.34386 |
| idMR:
|
MR2240356 |
| . |
| Date available:
|
2008-06-06T22:47:56Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107995 |
| . |
| 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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| . |
