| Title:
|
Nonoscillation and asymptotic behaviour for third order nonlinear differential equations (English) |
| Author:
|
Tiryaki, Aydın |
| Author:
|
Çelebi, A. Okay |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
48 |
| Issue:
|
4 |
| Year:
|
1998 |
| Pages:
|
677-685 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we consider the equation \[y^{\prime \prime \prime } + q(t){y^{\prime }}^{\alpha } + p(t) h(y) =0,\] where $p,q$ are real valued continuous functions on $[0,\infty )$ such that $q(t) \ge 0$, $p(t) \ge 0$ and $h(y)$ is continuous in $(-\infty ,\infty )$ such that $h(y)y>0$ for $y \ne 0$. We obtain sufficient conditions for solutions of the considered equation to be nonoscillatory. Furthermore, the asymptotic behaviour of these nonoscillatory solutions is studied. (English) |
| Keyword:
|
Third order nonlinear differential equations |
| Keyword:
|
nonoscillatory solutions |
| Keyword:
|
asymptotic properties of solutions |
| MSC:
|
34C10 |
| MSC:
|
34C15 |
| MSC:
|
34D05 |
| idZBL:
|
Zbl 0955.34025 |
| idMR:
|
MR1658237 |
| . |
| Date available:
|
2009-09-24T10:17:11Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127446 |
| . |
| 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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| . |
