| Title:
|
Oscillation of second order neutral delay differential equations (English) |
| Author:
|
Džurina, J. |
| Author:
|
Hudáková, D. |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
134 |
| Issue:
|
1 |
| Year:
|
2009 |
| Pages:
|
31-38 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We establish some new oscillation criteria for the second order neutral delay differential equation $$ [r(t)|[x(t)+p(t)x[\tau (t)]]'|^{\alpha -1} [x(t)+ p(t)x[\tau (t)]]']' +\,q(t)f(x[\sigma (t)])=0. $$ The obtained results supplement those of Dzurina and Stavroulakis, Sun and Meng, Xu and Meng, Baculíková and Lacková. We also make a slight improvement of one assumption in the paper of Xu and Meng. (English) |
| Keyword:
|
differential equation |
| Keyword:
|
oscillation |
| Keyword:
|
second order |
| Keyword:
|
delay |
| Keyword:
|
neutral type |
| Keyword:
|
integral averaging method |
| MSC:
|
34C10 |
| idZBL:
|
Zbl 1212.34190 |
| idMR:
|
MR2504685 |
| DOI:
|
10.21136/MB.2009.140637 |
| . |
| Date available:
|
2010-07-20T17:45:58Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140637 |
| . |
| Reference:
|
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| Reference:
|
[2] Baculíková, B., Lacková, D.: Oscillation criteria for second order retarded differential equations.Proc. of CDDEA 2006, Studies of the University of \v Zilina 20 (2006), 11-18. MR 2380247 |
| 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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[15] Xu, R., Meng, F. W.: Some new oscillation criteria for second order quasi-linear neutral delay differential equations.Appl. Math. Comput. 182 (2006), 797-803. Zbl 1115.34341, MR 2292088, 10.1016/j.amc.2006.04.042 |
| . |
