Oscillation Behavior of Solutions for Even Order Neutral Functional Differential Equations
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Abstract: Even order neutral functional differential equations are considered. Sufficient conditions for the oscillation behavior of solutions for this differential equation are presented. The new results are presented and the some examples also given.
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[1] Hale J.Theory of Functional Differential Equations[M].New York: Springer-Verlag,1977. [2] Grace S R,Lalli B S.Oscillation theorems for second order neutral functional differential equations[J].Appl Math Comput,1992,52(2/3):119—133. [3] Grace S R, Lalli B S.On the oscillation of certain neutral functional differential equations[J].Funcialaj Ekvacioj,1993,36(2):303—310. [4] Grace S R. Oscillation criteria for nth-order neutral functional differential equations[J].J Math Anal Appl,1994,184(1):44—55. doi: 10.1006/jmaa.1994.1182 [5] Grace S R. On the oscillations of mixed neutral equations[J].J Math Anal Appl,1995,194(2):377—388. doi: 10.1006/jmaa.1995.1306 [6] Candan T,Dahiya R S.Oscillation behavior of n-th order neutral differential equations with continuous delay[J].J Math Anal Appl,2004,290(1):105—112. doi: 10.1016/j.jmaa.2003.09.072 [7] Dahiya R S,Candan T.Oscillation behavior of arbitrary order neutral differential equations[J].Appl Math Lett,2004,17(8):953—958. doi: 10.1016/j.am1.2003.09.008 [8] Ladde G S, Lakshmikantham V,Zhang B G.Oscillation Theory of Differential Equations With Deviating Arguments[M].New York: Marcel Dekker, Inc, 1987. [9] Kusano T. On even order functional differential equations with advanced and retarded arguments[J].J Differential Equations,1982,45:75—84. doi: 10.1016/0022-0396(82)90055-9 [10] Foster K E, Grimmer R C.Nonoscillatory solutions of higher-order delay equations[J].J Math Anal Appl,1980,77:150—164. doi: 10.1016/0022-247X(80)90266-8 [11] Grace S R, Lalli B S. Oscillation theorems for n-th order nonlinear differential equations with deviating arguments[J].Proc Amer Math Soc,1984,90:65—70. [12] Agarwal R P, Grace S R.Oscillation theorems for certain neutral functional differential equations[J].Comput Math Appl,1999,38(11/12):1—11. [13] Kiguradze I T.On the oscillation of solutions of the equation dmu/dtm+a(t)|u|m sign u=0[J].Mat Sb,1964,65(107):172—187.
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