| Title:
|
The nonlinear limit-point/limit-circle problem for higher order equations (English) |
| Author:
|
Bartušek, Miroslav |
| Author:
|
Došlá, Zuzana |
| Author:
|
Graef, John R. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
34 |
| Issue:
|
1 |
| Year:
|
1998 |
| Pages:
|
13-22 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We describe the nonlinear limit-point/limit-circle problem for the $n$-th order differential equation \[ y^{(n)} + r(t)f(y,y^{\prime }, \dots , y^{(n-1)}) = 0. \] The results are then applied to higher order linear and nonlinear equations. A discussion of fourth order equations is included, and some directions for further research are indicated. (English) |
| Keyword:
|
Higher order equations |
| Keyword:
|
nonlinear limit-point |
| Keyword:
|
nonlinear limit-circle |
| MSC:
|
34B15 |
| MSC:
|
34C05 |
| MSC:
|
34C10 |
| MSC:
|
34C15 |
| idZBL:
|
Zbl 0914.34023 |
| idMR:
|
MR1629644 |
| . |
| Date available:
|
2009-02-17T10:10:00Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107629 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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