| Title:
|
Oscillations of higher order differential equations of neutral type (English) |
| Author:
|
Parhi, N. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
50 |
| Issue:
|
1 |
| Year:
|
2000 |
| Pages:
|
155-173 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, sufficient conditions have been obtained for oscillation of solutions of a class of $n$th order linear neutral delay-differential equations. Some of these results have been used to study oscillatory behaviour of solutions of a class of boundary value problems for neutral hyperbolic partial differential equations. (English) |
| Keyword:
|
Oscillation |
| Keyword:
|
nonoscillation |
| Keyword:
|
boundary value problem |
| Keyword:
|
neutral equations |
| Keyword:
|
hyperbolic equations. |
| MSC:
|
34C10 |
| MSC:
|
34K11 |
| MSC:
|
34K15 |
| MSC:
|
34K40 |
| MSC:
|
35B05 |
| MSC:
|
35L20 |
| MSC:
|
35R10 |
| idZBL:
|
Zbl 1045.34043 |
| idMR:
|
MR1745469 |
| . |
| Date available:
|
2009-09-24T10:31:16Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127558 |
| . |
| Reference:
|
[1] K. Gopalsamy, B.S. Lalli and B.G. Zhang: Oscillation of odd order neutral differential equations.Czechoslovak Math. J. 42(117) (1992), 313–323. MR 1179502 |
| Reference:
|
[2] K. Gopalsamy, S.R. Grace and B.S. Lalli: Oscillation of even order neutral differential equations.Indian J. Math. 35 (1993), 9–25. MR 1249639 |
| Reference:
|
[3] I. Györi and G. Ladas: “Oscillation Theory of Delay-Differential Equations”.Clarendon Press, Oxford, 1991. MR 1168471 |
| Reference:
|
[4] I.T. Kiguradze: On the question of variability of solutions of nonlinear differential equations.Differentsial’nye Uravneniya 1 (1965), 995–1006; Translation: Differential Equations 1 (1965), 773–782. MR 0194689 |
| Reference:
|
[5] G.S. Ladde, V. Lakshmikantham and B.G. Zhang: “Oscillation Theory of Differential Equations with Deviating Arguments”.Marcel Dekker, INC, New York, 1987. MR 1017244 |
| Reference:
|
[6] N. Parhi and P.K. Mohanty: Oscillations of neutral differential equations of higher order.Bull. Inst. Math. Acad. Sinica 24 (1996). MR 1398241 |
| Reference:
|
[7] C. Yuanji: Oscillation in nonautonomous scalar differential equations with deviating arguments.Proc. Amer. Math. Soc. 110 (1990), 711–719. Zbl 0736.34060, MR 1023349, 10.2307/2047912 |
| Reference:
|
[8] B.G. Zhang and K. Gopalsamy: Oscillations and nonoscillations in higher order neutral equations.J. Math. Phys. Sci. 25 (1991), 152–165. MR 1135484 |
| . |
