| Title:
|
On the oscillatory integration of some ordinary differential equations (English) |
| Author:
|
Mustafa, Octavian G. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
44 |
| Issue:
|
1 |
| Year:
|
2008 |
| Pages:
|
23-36 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Conditions are given for a class of nonlinear ordinary differential equations $x^{\prime \prime }+a(t)w(x)=0$, $t\ge t_0\ge 1$, which includes the linear equation to possess solutions $x(t)$ with prescribed oblique asymptote that have an oscillatory pseudo-wronskian $x^{\prime }(t)-\frac{x(t)}{t}$. (English) |
| Keyword:
|
ordinary differential equation |
| Keyword:
|
asymptotic integration |
| Keyword:
|
prescribed asymptote |
| Keyword:
|
non-oscillation of solutions |
| MSC:
|
34C10 |
| MSC:
|
34D05 |
| MSC:
|
34E05 |
| MSC:
|
34K25 |
| idZBL:
|
Zbl 1212.34145 |
| idMR:
|
MR2431228 |
| . |
| Date available:
|
2008-06-06T22:52:36Z |
| Last updated:
|
2013-09-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/108093 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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