Previous |  Up |  Next

Article

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: [1] D. D. Bainov A. D. Myskis A. I. Zahariev: Necessary aud suffîcient conditions for oscillation of solutions of linear functional differential equations of neutral type with distributed delay.J. Math. Anal. Appl. 148 (1990), 263-273. MR 1052060, 10.1016/0022-247X(90)90043-F
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
.

Files

Files Size Format View
MathBohem_125-2000-2_4.pdf 1.640Mb application/pdf View/Open
Back to standard record
Partner of
EuDML logo