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Title: Oscillation criteria for second order nonlinear retarded differential equations (English)
Author: Džurina, Jozef
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 54
Issue: 3
Year: 2004
Pages: 245-253
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Category: math
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MSC: 34K11
idZBL: Zbl 1080.34556
idMR: MR2076361
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Date available: 2009-09-25T14:20:47Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/136905
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Reference: [1] AGARWAL R. P.-SHIEN S. L.-YEH C.-C.: Oscillation criteria for second-order retarded differential equations.Math. Comput. Modelling 26 (1997), 1-11. Zbl 0902.34061, MR 1480601
Reference: [2] CHERN J. L.-LIAN W. C.-YEH C.-C.: Oscillation criteria for second order half-linear differential equations with functional arguments.Publ. Math. Debrecen 48 (1996), 209-216. MR 1394842
Reference: [3] CHANTURIJA T. A.-KIGURADZE I. T.: Asymptotic Properties of Nonautonomous Ordinary Differential Equations.Nauka, Moscow, 1990. (Russian)
Reference: [4] ELBERT A.: A half-linear second order differential equation.In: Colloq. Math. Soc. János Bolyai 30, North-Holland, Amsterdam, 1979, pp. 153-180. MR 0680591
Reference: [5] ELBERT A.: Oscilllation and nonoscillation theorems for some nonlinear ordinary differentiał equation.In: Lecture Notes in Math. 964, Springer-Verlag, New York, 1982, pp. 187-212. MR 0693113
Reference: [6] HONG H.-L.-LIAN W.-C.-YEH C.-C.: Oscillation criteria for half-linear differential equations with functional argument.Nonlinear World 3 (1996), 849-855. MR 1434681
Reference: [7] LADDE G. S.-LAKSHMIKANTHAM V.-ZHANG B. G.: Oscillation Theory of Differential Equations with Deviating Arguments.Marcel Dekker Inc, New York-Basel, 1987. Zbl 0832.34071, MR 1017244
Reference: [8] LI H. A.-YEH C.-C.: Oscillation of nonlinear functional-differential equations of second order.Appl. Math. Lett. 11 (1998), 71-77. MR 1490383
Reference: [9] LI H. J.-YEH C.-C.: Sturmian comparison theorem for half-linear second order differential equation.Proc Roy. Soc Edinburgh Sect. A 125 (1995), 1193-1204. MR 1362999
Reference: [10] LI H. J.-YEH C.-C.: An integral criterion for oscillation of nonlinear differential equations.Math. Japon. 41 (1995), 185-188. Zbl 0816.34024, MR 1317762
Reference: [11] MIRZOV D. D.: On the oscillation of a system of nonlinear differential equations.Differ. Uravn. 9 (1973), 581-583.
Reference: [12] PENG M.-GE W.-HUANG L.-XU Q.: A correction on the oscillatory behavior of solutions of certain second order nonlinear differential equations.Appl. Math. Comput. 104 (1999), 207-215. Zbl 0937.34027, MR 1704141
Reference: [13] WONG P. J. Y.-AGARWAL R. P.: Oscillation theorems and existence criteria of asymptotically monotone solutions for second order differential equations.Dynam. Systems Appl. 4 (1995), 477-496. Zbl 0840.34021, MR 1365834
Reference: [14] WONG P. J. Y.-AGARWAL R. P.: Oscillatory behavior of solutions of certain second order nonlinear differential equations.J. Math. Anal. Appl. 198 (1996), 337-354. MR 1376268
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