| Title:
|
Some oscillation theorems for second order differential equations (English) |
| Author:
|
Lee, Chung-Fen |
| Author:
|
Yeh, Cheh-Chih |
| Author:
|
Gau, Chuen-Yu |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
55 |
| Issue:
|
4 |
| Year:
|
2005 |
| Pages:
|
845-861 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we establish some oscillation or nonoscillation criteria for the second order half-linear differential equation \[ (r(t)\Phi (u^{\prime }(t)))^{\prime }+c(t)\Phi (u(t))=0, \] where (i) $r,c\in C([t_{0}, \infty )$, $\mathbb{R}:=(-\infty , \infty ))$ and $r(t)>0$ on $[t_{0},\infty )$ for some $t_{0}\ge 0$; (ii) $\Phi (u)=|u|^{p-2}u$ for some fixed number $p> 1$. We also generalize some results of Hille-Wintner, Leighton and Willet. (English) |
| Keyword:
|
oscillatory |
| Keyword:
|
nonoscillatory |
| Keyword:
|
Riccati differential equation |
| Keyword:
|
Sturm Comparison Theorem |
| MSC:
|
34C10 |
| MSC:
|
34C15 |
| idZBL:
|
Zbl 1081.34031 |
| idMR:
|
MR2184367 |
| . |
| Date available:
|
2009-09-24T11:28:18Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128028 |
| . |
| 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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