| Title:
|
Oscillatory behaviour of a higher order nonlinear neutral delay type functional differential equation with oscillating coefficients (English) |
| Author:
|
Bolat, Yaşar |
| Author:
|
Akin, Ömer |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
55 |
| Issue:
|
4 |
| Year:
|
2005 |
| Pages:
|
893-900 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we are concerned with the oscillation of solutions of a certain more general higher order nonlinear neutral type functional differential equation with oscillating coefficients. We obtain two sufficient criteria for oscillatory behaviour of its solutions. (English) |
| Keyword:
|
differential equation |
| Keyword:
|
higher order nonlinear neutral differential equation |
| Keyword:
|
oscillation |
| Keyword:
|
oscillating coefficients |
| MSC:
|
34K11 |
| MSC:
|
34K40 |
| idZBL:
|
Zbl 1081.34066 |
| idMR:
|
MR2184370 |
| . |
| Date available:
|
2009-09-24T11:28:39Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128031 |
| . |
| Reference:
|
[1] R. P. Agarwal, Said R. Grace and Donal O’Regan: Oscillation Theory for Difference and Functional Differential Equations.Kluwer Academic Publishers, Dordrecht, 2000. MR 1774732 |
| Reference:
|
[2] D. Bainov and D. P. Mishev: Oscillation Theory of Operator-Differential Equations.World Scientific, Singapore-New Yersey, 1995. MR 1370659 |
| Reference:
|
[3] G. S. Ladde, V. Lakshmikantham and B. G. Zhang: Oscillation Theory of Differential Equations with Deviating Arguments.M. Dekker, New York, 1987. MR 1017244 |
| Reference:
|
[4] D. Bainov and D. P. Mishev: Oscillation Theory for Neutral Differential Equations with Delay.Adam Hilger, New York, 1991. MR 1147908 |
| Reference:
|
[5] I. Gyori and G. Ladas: Oscillation Theory of Delay Differential Equations with Applications.Clarendon Press, Oxford, 1991. MR 1168471 |
| Reference:
|
[6] N. Parhi: Oscillations of higher order differential equations of neutral type.Czechoslovak Math. J. 50(125) (2000), 155–173. Zbl 1045.34043, MR 1745469, 10.1023/A:1022405707349 |
| Reference:
|
[7] Feng Yuecai: Oscillatory behavior of higher order nonlinear neutral functional differential equation with oscillating coefficients.J. South Chine Normal Unv. (1999), 6–11. (Chinese) MR 1759521 |
| Reference:
|
[8] P. R. Agarwal and S. R. Grace: The oscillation of higher order differential equations with deviating arguments.Comput. Math. Appl. 38 (1999), 185–199. MR 1703416, 10.1016/S0898-1221(99)00193-5 |
| Reference:
|
[9] S. R. Grace and B. S. Lalli: Oscillation theorems for certain neutral differential equations.Czechoslovak Math. J. 38 (1988), 745–783. MR 0962917 |
| Reference:
|
[10] R. P. Agarwal, E. Thandapani and P. J. Y. Wong: Oscillation of higher order neutral differential equations.Appl. Math. Letters 10 (1997), 71–78. MR 1429478, 10.1016/S0893-9659(96)00114-0 |
| . |
