Title:
|
Property (B) of differential equations with deviating argument (English) |
Author:
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Džurina, Jozef |
Language:
|
English |
Journal:
|
Archivum Mathematicum |
ISSN:
|
0044-8753 (print) |
ISSN:
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1212-5059 (online) |
Volume:
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30 |
Issue:
|
3 |
Year:
|
1994 |
Pages:
|
207-213 |
Summary lang:
|
English |
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Category:
|
math |
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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:
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2008-06-06T21:26:32Z |
Last updated:
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2012-05-10 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/107507 |
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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 |
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