| Title:
|
Property (B) of differential equations with deviating argument (English) |
| Author:
|
Džurina, Jozef |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
30 |
| Issue:
|
3 |
| Year:
|
1994 |
| Pages:
|
207-213 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The aim of this paper is to deduce oscillatory and asymptotic behavior of delay differential equation \[ L_nu(t)-p(t)u(\tau (t))= 0, \] from the oscillation of a set of the first order delay equations. (English) |
| Keyword:
|
property (B) |
| Keyword:
|
comparison theorem |
| Keyword:
|
deviating argument.. |
| MSC:
|
34C10 |
| MSC:
|
34K15 |
| MSC:
|
34K25 |
| MSC:
|
34K99 |
| idZBL:
|
Zbl 0815.34060 |
| idMR:
|
MR1308354 |
| . |
| Date available:
|
2008-06-06T21:26:32Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107507 |
| . |
| Reference:
|
[1] Chanturia, T. A. , Koplatadze, R. G.: On the oscillatory and monotone solutions of the first order differential equations with deviating argument.Dif. Uravnenija 18 (1982), 1463–1465. (Russian) MR 0671174 |
| Reference:
|
[2] Elbert, A., Stavroulakis, I. P.: Oscillations of the first order differential equations with deviating arguments.Univ of Ioannina, Technical report No 172 Math (1990), 1–18. |
| Reference:
|
[3] Györi, I., Ladas, G.: Oscillation theory of delay differential equations.Clarendon press, Oxford, 1991. MR 1168471 |
| Reference:
|
[4] Kiguradze, T. I.: On the oscillation of solutions of the equation $d^mu/dt^m + a(t)|u|^n sign\,u = 0$.Mat. Sb 65 (1964), 172–187. (Russian) Zbl 0135.14302, MR 0173060 |
| Reference:
|
[5] Kusano, T., Naito, M.: Comparison theorems for functional differential equations with deviating arguments.J. Math. Soc. Japan 3 (1981), 509–532. MR 0620288 |
| Reference:
|
[6] Ladde, G. S., Lakshmikantham, V., Zhang, B. G.: Oscillation theory of differential equations with deviating arguments.Dekker, New York, 1987. MR 1017244 |
| Reference:
|
[7] Trench, W. F.: Canonical forms and principal systems for general disconjugate equations.Trans. Amer. Math. Soc 189 (1974), 319–327. Zbl 0289.34051, MR 0330632 |
| . |
