| Title:
|
A singular version of Leighton's comparison theorem for forced quasilinear second order differential equations (English) |
| Author:
|
Došlý, Ondřej |
| Author:
|
Jaroš, Jaroslav |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
39 |
| Issue:
|
4 |
| Year:
|
2003 |
| Pages:
|
335-345 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We extend the classical Leighton comparison theorem to a class of quasilinear forced second order differential equations \[ (r(t)|x^{\prime }|^{\alpha -2}x^{\prime })^{\prime }+c(t)|x|^{\beta -2}x=f(t)\,,\quad 1<\alpha \le \beta ,\ t\in I=(a,b)\,, \qquad \mathrm {(*)}\] where the endpoints $a$, $b$ of the interval $I$ are allowed to be singular. Some applications of this statement in the oscillation theory of (*) are suggested. (English) |
| Keyword:
|
Picone’s identity |
| Keyword:
|
forced quasilinear equation |
| Keyword:
|
principal solution |
| MSC:
|
34C10 |
| idZBL:
|
Zbl 1116.34316 |
| idMR:
|
MR2032106 |
| . |
| Date available:
|
2008-06-06T22:42:34Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107881 |
| . |
| 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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