| Title:
|
Oscillation criteria for fourth order half-linear differential equations (English) |
| Author:
|
Jaroš, Jaroslav |
| Author:
|
Takaŝi, Kusano |
| Author:
|
Tanigawa, Tomoyuki |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
56 |
| Issue:
|
2 |
| Year:
|
2020 |
| Pages:
|
115-125 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Criteria for oscillatory behavior of solutions of fourth order half-linear differential equations of the form \begin{equation*} \big (|y^{\prime \prime }|^\alpha {\rm sgn\ } y^{\prime \prime }\big )^{\prime \prime } + q(t)|y|^\alpha {\rm sgn}\ y = 0, \quad t \ge a > 0, A \end{equation*} where $\alpha > 0$ is a constant and $q(t)$ is positive continuous function on $[a,\infty )$, are given in terms of an increasing continuously differentiable function $\omega (t)$ from $[a,\infty )$ to $(0,\infty )$ which satisfies $\int _a^\infty 1/(t\omega (t))\,dt < \infty $. (English) |
| Keyword:
|
half-linear differential equation |
| Keyword:
|
oscillatory solutions |
| MSC:
|
34C10 |
| idZBL:
|
Zbl 07217117 |
| idMR:
|
MR4115087 |
| DOI:
|
10.5817/AM2020-2-115 |
| . |
| Date available:
|
2020-05-21T08:51:31Z |
| Last updated:
|
2020-08-26 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148137 |
| . |
| 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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| 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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| Reference:
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| Reference:
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| Reference:
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