| Title:
|
Nonrectifiable oscillatory solutions of second order linear differential equations (English) |
| Author:
|
Kanemitsu, Takanao |
| Author:
|
Tanaka, Satoshi |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
53 |
| Issue:
|
4 |
| Year:
|
2017 |
| Pages:
|
193-201 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The second order linear differential equation \begin{equation*} (p(x)y^{\prime })^{\prime }+q(x)y=0\,, \quad x \in (0,x_0] \end{equation*} is considered, where $p$, $q \in C^1(0,x_0]$, $p(x)>0$, $q(x)>0$ for $x \in (0,x_0]$. Sufficient conditions are established for every nontrivial solutions to be nonrectifiable oscillatory near $x=0$ without the Hartman–Wintner condition. (English) |
| Keyword:
|
oscillatory |
| Keyword:
|
nonrectifiable |
| Keyword:
|
second order linear differential equation |
| MSC:
|
34C10 |
| idZBL:
|
Zbl 06819525 |
| idMR:
|
MR3733066 |
| DOI:
|
10.5817/AM2017-4-193 |
| . |
| Date available:
|
2017-11-22T09:39:17Z |
| Last updated:
|
2020-01-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/146981 |
| . |
| Reference:
|
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| Reference:
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