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二阶时滞微分方程极限圆型的判定
引用本文:徐志庭. 二阶时滞微分方程极限圆型的判定[J]. 广东工业大学学报, 1994, 0(1)
作者姓名:徐志庭
作者单位:广东工学院基础部
摘    要:
本文研究下列二阶时滞微分方程(r(t)x’(t))’+a(t)x(t)十f*(t,x(h1(t)),x(h2(t),…,x(hn(t()=0(A)的极限圆型.借助于Liapunov函数和权函数得到了(A)属于极限圆型的充分条件.

关 键 词:二阶时滞微分方程;解;极限圆型

The Limit Circle Criterion of the Second Order Delay Differential Equations
Xu Zhiting. The Limit Circle Criterion of the Second Order Delay Differential Equations[J]. Journal of Guangdong University of Technology, 1994, 0(1)
Authors:Xu Zhiting
Affiliation:Dept.of Baste Courses
Abstract:
The authors consider the limit circle of the following second order delay differential equations(r(t)x'(t) )'+ a(t)x(t) f(t,x))),...x(hn(t)))=0.(A)By using Liapunov function and weigh funtion,they obtain the sufficient conditions which guarantee all the solutions of(A)that belong to the limit circle.
Keywords:two-order delay differential equations  solution  limit circle
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