| Title:
|
Oscillation criteria for second order neutral differential equations (English) |
| Author:
|
Džurina, Jozef |
| Author:
|
Mihalíková, Božena |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
125 |
| Issue:
|
2 |
| Year:
|
2000 |
| Pages:
|
145-153 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Our aim in this paper is to present sufficient conditions for the oscillation of the second order neutral differential equation
\big(x(t)-px(t-\tau)\big)"+q(t)x\big(\sigma(t)\big)=0. (English) |
| Keyword:
|
neutral equation |
| Keyword:
|
delayed argument |
| MSC:
|
34C10 |
| MSC:
|
34K10 |
| MSC:
|
34K11 |
| MSC:
|
34K40 |
| idZBL:
|
Zbl 0973.34057 |
| idMR:
|
MR1768803 |
| DOI:
|
10.21136/MB.2000.125960 |
| . |
| Date available:
|
2009-09-24T21:41:41Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125960 |
| . |
| Reference:
|
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| Reference:
|
[2] D. D. Bainov D. P. Mishev: Oscillation Theory for Neutral Differential Equations with Delay.Adam Hilger, Bristol, 1991. MR 1147908 |
| Reference:
|
[3] L. H. Erbe Q. Kong B. G. Zhang: Oscillation Theory for Functional Differential Equations.Dekker, New York, 1995. MR 1309905 |
| Reference:
|
[4] L. H. Erbe Q. Kong: Oscillation results for second order neutral differential equatious.Funkcial. Ekvac. 35 (1992), 545-555. MR 1199473 |
| Reference:
|
[5] L. H. Erbe B. G. Zhang: Oscillation of second order neutral differential equations.Bull. Austral. Math. Soc. 39 (1989), 71-80. MR 0976261, 10.1017/S0004972700027994 |
| Reference:
|
[6] I. Győri G. Ladas: Theory of Delay Differential Equations with Applications.Clarendon Press, Oxford, 1991. MR 1168471 |
| Reference:
|
[7] J. Jaroš T. Kusano: Oscillation theory of higher order linear functional differential equations of neutral type.Hiroshima Math. J. 18 (1987). 509-531. MR 0991245, 10.32917/hmj/1206129616 |
| Reference:
|
[8] J. Ruan: Types and criteria of nonoscillatory solutions for second order linear neutral differential equations.Chinese Ann. Math. Ser. A 8 (1987), 114-124. MR 0901645 |
| Reference:
|
[9] A. I. Zahariev D.D. Bainov: On some oscillation criteria for a class of neutral type functional differential equations.J. Austral. Math. Soc. Ser. B 28 (1986), 228-239. MR 0862572 |
| Reference:
|
[10] B. G. Zhang J. S. Yu: Oscillation and nonoscillation for neutral differential equations.J. Math. Anał. Appl. 172 (1993), 11-23. Zbl 0776.34059, MR 1199490, 10.1006/jmaa.1993.1002 |
| Reference:
|
[11] B. G. Zhang: Oscillation and asymptotic behavior of second order difference equations.J. Math. Anal. Appl. 172 (1993), 58-68. Zbl 0780.39006, MR 1205909, 10.1006/jmaa.1993.1052 |
| . |
