| Title:
|
The asymptotic properties of the solutions of the $n$-th order neutral differential equations (English) |
| Author:
|
Lacková, Dáša |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
39 |
| Issue:
|
3 |
| Year:
|
2003 |
| Pages:
|
179-185 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The aim of this paper is to deduce oscillatory and asymptotic behavior of the solutions of the $n-$th order neutral differential equation \[ (x(t)-px(t-\tau ))^{(n)}-q(t)x(\sigma (t))=0\,, \] where $\sigma (t)$ is a delayed or advanced argument. (English) |
| Keyword:
|
neutral differential equation |
| Keyword:
|
delayed argument |
| Keyword:
|
advanced argument |
| MSC:
|
34K11 |
| MSC:
|
34K12 |
| MSC:
|
34K25 |
| MSC:
|
34K40 |
| idZBL:
|
Zbl 1116.34340 |
| idMR:
|
MR2010718 |
| . |
| Date available:
|
2008-06-06T22:41:40Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107864 |
| . |
| Reference:
|
[1] Kusano, T., Naito, M.: Comparison theorems for functional differential equations with deviating argument.J. Math. Soc. Japan 33 (1981), . MR 0620288 |
| Reference:
|
[2] Kusano, T.: On even functional differential equations with advanced and retarded arguments.Differential Equations 45 (1985), 75–84. MR 0662487 |
| Reference:
|
[3] Džurina, J., Mihalíková, B.: Oscillation criteria for second order neutral differential equations.Math. Bohem. 2 (2000), 145–153. MR 1768803 |
| Reference:
|
[4] Džurina, J., Mihalíková, B.: Oscillations of advanced differential equations.Fasc. Math. 25 (1995), 95–103. MR 1339630 |
| Reference:
|
[5] Kiguradze, I. T.: On the oscillation of solutions of the equation $d^{m}u/dt^{m}+a(t)|u|^{n}sign\,u=0$.Mat. Sb 65 (1964). (Russian) Zbl 0135.14302, MR 0173060 |
| Reference:
|
[6] Džurina, J., Mihalíková, B.: A note of unstable neutral differential equations of the second order.Fasc. Math. 29 (1999), 17–22. MR 1724462 |
| . |
