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二阶泛函微分方程解的渐近理论
引用本文:催宝同.二阶泛函微分方程解的渐近理论[J].西南师范大学学报(自然科学版),1989,14(2):19-28.
作者姓名:催宝同
作者单位:滨州师范专科学校
摘    要:在本文中,我们讨论非线性泛函微分方程 解的渐近性及其非振动性,得到了方程(E)的解收敛于零的充分条件,并获得了一个非振动性定理。

关 键 词:泛函微分方程  振动性  非振动性  渐近性

ASYMPTOTIC THEORY FOR THE SOLUTIONS OF THE SECOND ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS
Cui Baotong.ASYMPTOTIC THEORY FOR THE SOLUTIONS OF THE SECOND ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS[J].Journal of Southwest China Normal University(Natural Science),1989,14(2):19-28.
Authors:Cui Baotong
Institution:Binzhou Teachers Institute
Abstract:This paper deals with the asymptotic behavior and nonoscillation of solutions of nonlinear second order functional differential equations.and some sufficient condition for solutions of Eq. (E) converging to zero as t-? and a theorem for nonoscillation of Eq. (E) is obtained.
Keywords:functional differential equation  oscillation  nonoscillation  asymptotic behavior
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