带反射变量微分方程的极限周期解Limit-Periodic Solutions of the Differential Equations with Reflection of the Arguments
庄晓丽
摘要(Abstract):
本文利用给定的周期序列,定义了极限周期函数的一个子集,并讨论了该子集的一些性质。然后,借助Banach压缩映像原理证明了带反射变量的一阶微分方程■的极限周期解的存在性及唯一性,其中函数F关于t是一致极限周期的,且F关于后两个变量满足Lipschitz条件。
关键词(KeyWords): 极限周期函数;微分方程;反射自变量;Banach压缩映像原理
基金项目(Foundation): 国家自然科学基金项目(11971059)资助~~
作者(Author): 庄晓丽
DOI: 10.16441/j.cnki.hdxb.20220003
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