| Title:
|
Oscillation theorems for neutral differential equations of higher order (English) |
| Author:
|
Džurina, Jozef |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
54 |
| Issue:
|
1 |
| Year:
|
2004 |
| Pages:
|
107-117 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we present some new oscillatory criteria for the $n$-th order neutral differential equations of the form \[ (x(t)\pm p(t)x[\tau (t)])^{(n)} +q(t)x[\sigma (t)] =0. \] The results obtained extend and improve a number of existing criteria. (English) |
| Keyword:
|
neutral equation |
| Keyword:
|
delayed argument |
| MSC:
|
34C10 |
| MSC:
|
34K11 |
| MSC:
|
34K40 |
| idZBL:
|
Zbl 1057.34074 |
| idMR:
|
MR2040224 |
| . |
| Date available:
|
2009-09-24T11:10:20Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127869 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
[3] I. T. Kiguradze and T. A. Chanturia: Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations.Nauka, Moscow, 1991. (Russian) |
| Reference:
|
[4] L. H. Erbe and Q. Kong: Oscillation results for second order neutral differential equations.Funkc. Ekvacioj 35 (1992), 545–557. MR 1199473 |
| Reference:
|
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| Reference:
|
[6] S. R. Gracem and B. S. Lalli: Oscillation and asymptotic behavior of certain second order neutral differential equations.Radovi Mat. 5 (1989), 121–126. MR 1012728 |
| Reference:
|
[7] M. K. Grammatikopoulos, G. Ladas and A. Meimaridou: Oscillation and asymptotic behavior of higher order neutral equations with variable coefficients.Chinese Ann. Math. 9B (1988), 322–338. MR 0968469 |
| Reference:
|
[8] 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:
|
[9] I. Győri and G. Ladas: Theory of Delay Differential Equations with Applications.Clarendon Press, Oxford, 1991. MR 1168471 |
| Reference:
|
[10] J. Hale: Theory of Functional Differential Equations.Springer-Verlag, New York, 1977. Zbl 0352.34001, MR 0508721 |
| Reference:
|
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| Reference:
|
[12] N. Parhi and P. K. Mohanty: Oscillation of neutral differential equations of higher order.Bull. Inst. Math. Sinica 24 (1996), 139–150. |
| Reference:
|
[13] M. Růžičková and E. Špániková: Comparison theorems for differential equations of neutral type.Fasc. Math. (1998), 141–148. |
| . |
