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概周期微分方程的概周期解
引用本文:王全义.概周期微分方程的概周期解[J].华侨大学学报(自然科学版),1993,14(3):283-291.
作者姓名:王全义
作者单位:华侨大学管理信息科学系
摘    要:研究具有两个时间变量的概周期微分方程系的概周期解的存在性问题,在某些条件下,利用平均值法和逐步逼近法证明了这类方程系具有概周期解.在所得的结果中,定理2推广了文1]中的结果,定理3推广了文7]中的定理1.

关 键 词:微分方程  存在性  概周期解

Almost Periodic Solutions of Almost Periodic Differential Systems
Wang Quanyi.Almost Periodic Solutions of Almost Periodic Differential Systems[J].Journal of Huaqiao University(Natural Science),1993,14(3):283-291.
Authors:Wang Quanyi
Institution:Department of Management Information Science
Abstract:This paper centers on the existence of almost periodic solutions of some almost periodic differential systems with two time variables.Under certain conditions,these systems are proved by mean value method and successive approximation method to have almost periodic solutions.In the results obtained,theorem 2 extends the result in the paper1]and theorem 3 extends theorem 1 in the paper7].
Keywords:differential equation  existence  almost periodic solution  mean value method  successive approximation method
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