| Title:
|
On oscillation criteria for third order nonlinear delay differential equations (English) |
| Author:
|
Agarwal, Ravi P. |
| Author:
|
Aktas, Mustafa F. |
| Author:
|
Tiryaki, A. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
45 |
| Issue:
|
1 |
| Year:
|
2009 |
| Pages:
|
1-18 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we are concerned with the oscillation of third order nonlinear delay differential equations of the form
\[ \ \left( r_{2}\left( t\right) \left( r_{1}\left( t\right) x^{\prime }\right) ^{\prime }\right) ^{\prime }+p\left( t\right) x^{\prime }+q\left( t\right) f\left( x\left( g\left( t\right) \right) \right) =0. \]
We establish some new sufficient conditions which insure that every solution of this equation either oscillates or converges to zero. (English) |
| Keyword:
|
oscillation |
| Keyword:
|
third order |
| Keyword:
|
functional differential equation |
| MSC:
|
34C10 |
| MSC:
|
34K11 |
| idZBL:
|
Zbl 1212.34189 |
| idMR:
|
MR2591657 |
| . |
| Date available:
|
2009-06-25T13:46:52Z |
| Last updated:
|
2013-09-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128285 |
| . |
| 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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| . |
