Asymptotic and Oscillation for a Class of First Order Neutral Differential Equation
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						Abstract: In this paper,the first order neutral differential equation with continuous distributed delay is concerned,and the asymptotic behavior of nonoscillatory solution and the oscillatory criteria are given for Equation(1).- 
									Key words:
									
- neutral differential equation /
- asymptotic /
- oscillation /
- continuous distributed delay
 
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						[1] Brayton R K,Willoughby R A.On the num erical integration of a symmetric system of difference-differential equations of neutral type[J].J Math Anal Appl,1967,18(1):182~189. [2] Hale J.Theory of Functional Differential Equations[M].New York:Springer-Verlag,1997. [3] Yu Yuanhong.Oscil atory behaviors of solutions of first order neutral delay differential equations[J].Chinese Science Bulletin,1989,34(2):158.(in Chinese) [4] Ladas G,Sficas Y G.Oscillations of neutral delay differential equations[J].Canada Math Bul,1986,29(3):438~445. [5] Fu Xilin,Yu Yuanhong.Asymptotic and o scil atory behaviors of a class of first ordernonlinear neutral equation[J].Ann Diff Eqs,1993,9(1):18~25. [6] Ruan Jiong.A class of differential inequalities with continuous distributed deviatingarguments[J].Acta Mathematics Sinica,1987,30(5):661~670. 
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