| Title:
|
Monotonicity properties of oscillatory solutions of differential equation $(a(t)\vert y^{\prime }\vert ^{p-1}y^{\prime })^{\prime }+f(t,y,y^{\prime })=0$ (English) |
| Author:
|
Bartušek, Miroslav |
| Author:
|
Kokologiannaki, Chrysi G. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
49 |
| Issue:
|
3 |
| Year:
|
2013 |
| Pages:
|
199-207 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We obtain monotonicity results concerning the oscillatory solutions of the differential equation $(a(t)\vert y^{\prime }\vert ^{p-1}y^{\prime })^{\prime }+f(t,y,y^{\prime })=0$. The obtained results generalize the results given by the first author in [1] (1976). We also give some results concerning a special case of the above differential equation. (English) |
| Keyword:
|
monotonicity |
| Keyword:
|
oscillatory solutions |
| MSC:
|
34C10 |
| MSC:
|
34C15 |
| MSC:
|
34D05 |
| idZBL:
|
Zbl 06321158 |
| idMR:
|
MR3144182 |
| DOI:
|
10.5817/AM2013-3-199 |
| . |
| Date available:
|
2013-12-02T11:25:49Z |
| Last updated:
|
2014-07-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143532 |
| . |
| Reference:
|
[1] Bartušek, M.: Monotonicity theorems concerning differential equations $y^{\prime \prime }+f(t,y,y^{\prime })=0$.Arch. Math. (Brno) 12 (4) (1976), 169–178. MR 0430410 |
| Reference:
|
[2] Bartušek, M.: Monotonicity theorems for second order non-linear differential equations.Arch. Math. (Brno) 16 (3) (1980), 127–136. MR 0594458 |
| Reference:
|
[3] Bartušek, M.: On properties of oscillatory solutions of nonlinear differential equations of the $n$-th order.Diff. Equat. and Their Appl., Equadiff 6, vol. 1192, Lecture Notes in Math., Berlin, 1985, pp. 107–113. |
| 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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[11] Lorch, L., Muldon, M. E., Szego, P.: Higher monotonicity of certain Sturm-Liouville functions III.Canad. J. Math. 22 (1970), 1238–1265. MR 0274845, 10.4153/CJM-1970-142-1 |
| Reference:
|
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| Reference:
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| Reference:
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