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具有“强积分小”系数的二阶泛函微分方程解的振动性质
引用本文:徐志庭. 具有“强积分小”系数的二阶泛函微分方程解的振动性质[J]. 广东工业大学学报, 1991, 0(4)
作者姓名:徐志庭
作者单位:广东工学院基础部
摘    要:本文研究下列二阶泛函微分方程解的振动性质: (r(t)x′(t))′+q(t)x′(t)+M(t,x(g(t)))=0给出了方程(*)存在非振动解的必要条件以及存在振动解的充分判据。

关 键 词:泛函微分方程  振动解  非振动解  强积分小  强积分小因子

Oscillatory Properties for Second Order Functional Differential Equations with a "strongly integrally small" Coefficient
Xu Zhiting. Oscillatory Properties for Second Order Functional Differential Equations with a "strongly integrally small" Coefficient[J]. Journal of Guangdong University of Technology, 1991, 0(4)
Authors:Xu Zhiting
Affiliation:Department of Basic Courses
Abstract:This paper considers the following second order functional diferential equation:(r(t)x' (t))'+q(t)x' (t)+M(t, x(g(t)))=0 (*)The sufficient conditions for(*)to be oscillatory and necessary conditions for(*)to be nonoscillatory are given by the use of "coefficient factor"
Keywords:functional differential equtions   oscillatory solution   nonoscillatory solution   strongly intergrally small   strongly intergrally small factor.
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