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Title: Oscillation of a class of higher order neutral differential equations (English)
Author: Wang, Peiguang
Author: Wang, Min
Language: English
Journal: Archivum Mathematicum
ISSN: 0044-8753 (print)
ISSN: 1212-5059 (online)
Volume: 40
Issue: 2
Year: 2004
Pages: 201-208
Summary lang: English
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Category: math
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Summary: In this paper, we investigate a class of higher order neutral functional differential equations, and obtain some new oscillatory criteria of solutions. (English)
Keyword: higher order
Keyword: nonlinear
Keyword: neutral equation
Keyword: oscillation
MSC: 34K11
MSC: 34K40
idZBL: Zbl 1116.34333
idMR: MR2068691
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Date available: 2008-06-06T22:43:31Z
Last updated: 2012-05-10
Stable URL: http://hdl.handle.net/10338.dmlcz/107901
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Reference: [1] Agarwal R.P., Grace S. R., O’Regan D.: Oscillation criteria for certain nth order differential equations with deviating arguments.J. Math. Anal. Appl. 262 (2001), 601–622. MR 1859327
Reference: [2] Bainov D. D, Mishev D. P.: Oscillation Theory for Neutral Differential Equations with Delay.Adam Hilger, Bristol 1991. Zbl 0747.34037, MR 1147908
Reference: [3] Erbe L. H., Kong Q. K., Zhang B. Q.: Oscillation Theory for Functional Differential Equations.Marcel Dekker, New York 1995. MR 1309905
Reference: [4] Ladas G., Sficas Y. D.: Oscillations of higher-order equations.J. Austral. Math. Soc., Ser. B 27 (1986), 502–511. MR 0836222
Reference: [5] Grace S. R.: Oscillation of even order nonlinear functional differential equation with deviating arguments.Funkcial. Ekvac. 32 (1989), 265–272. MR 1019434
Reference: [6] Grace S. R.: Oscillation theorems of comparison type for neutral nonlinear functional differential equation.Czechoslovak Math. J. 45, 4 (1995), 609–626. MR 1354921
Reference: [7] Jaroš J., Kusano T.: Existence of oscillatory solutions for functional differential equations of neutral type.Acta Math. Univ. Comenian. (N.S.) 60, No. 2 (1991), 185–194. MR 1155243
Reference: [8] Philos, Ch. G.: A new criterion for the oscillatory and asymptotic behavior of delay differential equations.Bull. Acad. Pol. Sci. Ser. Sci. Mat. 29 (1981), 367–370. Zbl 0482.34056, MR 0640329
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