| Title:
|
A comparison theorem for linear delay differential equations (English) |
| Author:
|
Džurina, Jozef |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
31 |
| Issue:
|
2 |
| Year:
|
1995 |
| Pages:
|
113-120 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper property (A) of the linear delay differential equation \[ L_nu(t)+p(t)u(\tau (t))= 0, \] is to deduce from the oscillation of a set of the first order delay differential equations. (English) |
| Keyword:
|
Comparison theorem |
| Keyword:
|
property (A).. |
| MSC:
|
34C10 |
| MSC:
|
34K11 |
| MSC:
|
34K15 |
| idZBL:
|
Zbl 0841.34071 |
| idMR:
|
MR1357979 |
| . |
| Date available:
|
2008-06-06T21:28:24Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107531 |
| . |
| 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] Džurina, J.: Comparison theorems for ODEs.Math. Slovaca 42 (1992), 299–315. MR 1182960 |
| Reference:
|
[3] Győri, I., Ladas, G.: Oscillation theory of delay differential equations.Clarendon press, Oxford, 1991. MR 1168471 |
| Reference:
|
[4] Kiguradze, I. T.: 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] Mihal¡kov , B., Šoltés, P.: Oscillations of differential equation with retarded argument.Math. Slovaca 38 (1985), 295–303. MR 0808365 |
| . |
