| Title:
|
Conditions for the absence of positive solutions of a first order differential inequality with a single delay (English) |
| Author:
|
Kozakiewicz, Erwin |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
31 |
| Issue:
|
4 |
| Year:
|
1995 |
| Pages:
|
291-297 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A sufficient integral condition for the absence of eventually positive solutions of a first order stable type differential inequality with one nondecreasing retarded argument is given. In the special case of equality the result becomes an oscillation criterion. (English) |
| Keyword:
|
delay |
| Keyword:
|
differential inequality |
| Keyword:
|
oscillation |
| MSC:
|
34A40 |
| MSC:
|
34C10 |
| MSC:
|
34K05 |
| MSC:
|
34K11 |
| idZBL:
|
Zbl 0849.34054 |
| idMR:
|
MR1390588 |
| . |
| Date available:
|
2008-06-06T21:29:32Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107550 |
| . |
| Reference:
|
[1] Ladde G.S., Lakshmikantham V., Zhang B.G.: Oscillation Theory of Differential Equations with Deviating Arguments.Marcel Dekker, New York, 1987. Zbl 0832.34071, MR 1017244 |
| Reference:
|
[2] Kozakiewicz E.: Oscillations for First Order Neutral Differential Equations.ZAMM 73 (1993), T813-T815. Zbl 0815.34062, MR 1237876 |
| Reference:
|
[3] Kozakiewicz E.: Conditions for the absence of positive solutions of first order differential inequalities with deviating arguments.4th. Int. Coll. on Differential Equations, pp. 157-161, D. Bainov and V. Covachev (eds.), VSP 1994. Zbl 0843.34071, MR 1458394 |
| Reference:
|
[4] Elbert Á., Stavroulakis I.P.: Oscillation and Non-oscillation Criteria for Delay Differential Equations.Proc. Amer. Math. Soc., 123 (1995), 1503-1510, or University of Ioannina, Greece, Technical Report No. 228, July 1993. MR 1242082 |
| . |
