| Title:
|
A note on the oscillation problems for differential equations with $p(t)$-Laplacian (English) |
| Author:
|
Fujimoto, Kōdai |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
59 |
| Issue:
|
1 |
| Year:
|
2023 |
| Pages:
|
39-45 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper deals with the oscillation problems on the nonlinear differential equation $(a(t)|x^{\prime }|^{p(t)-2}x^{\prime })^{\prime }+b(t)|x|^{\lambda -2}x=0$ involving $p(t)$-Laplacian. Sufficient conditions are given under which all proper solutions are oscillatory. In addition, we give a-priori estimates for nonoscillatory solutions and propose an open problem. (English) |
| Keyword:
|
oscillation |
| Keyword:
|
$p(t)$-Laplacian |
| Keyword:
|
half-linear differential equations |
| MSC:
|
34C10 |
| MSC:
|
34C15 |
| idZBL:
|
Zbl 07675573 |
| idMR:
|
MR4563015 |
| DOI:
|
10.5817/AM2023-1-39 |
| . |
| Date available:
|
2023-02-22T14:23:57Z |
| Last updated:
|
2023-05-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/151549 |
| . |
| Reference:
|
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| Reference:
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| . |
