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Banach空间非线性微分方程Cauchy问题解的估计
引用本文:李清孝,周哲彦.Banach空间非线性微分方程Cauchy问题解的估计[J].福建师范大学学报(自然科学版),1994,10(4):7-12.
作者姓名:李清孝  周哲彦
摘    要:研究Banach空间中一阶非线性方程Canchy问题的奇摄动。在适当的条件下证明了解的存在性,并给出解的渐近估计。

关 键 词:奇摄动  估计  巴拿赫空间  初值问题  微分方程

An Estimate for the Solution of Nonlinear Cauchy Problem in Banach Spaces
Li Qingxiao,Zhou Zheyan.An Estimate for the Solution of Nonlinear Cauchy Problem in Banach Spaces[J].Journal of Fujian Teachers University(Natural Science),1994,10(4):7-12.
Authors:Li Qingxiao  Zhou Zheyan
Institution:Department of Mathematics
Abstract:Cauchy problems of singular perturbation type for nonlinear differential equations in Benach spaces are studied.The existence result and the asymptotic estimates of the solution in the maximum norm are examined by means of some fixed point theorems.
Keywords:singular perturbation  asymptotic estimates  supersolution  lower solution  
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