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Banach空间中一阶非线性微分方程组的终值问题解的存在性
引用本文:张海燕.Banach空间中一阶非线性微分方程组的终值问题解的存在性[J].滁州学院学报,2010,12(5).
作者姓名:张海燕
基金项目:高校省级自然科学项目,宿州学院自然科学基金
摘    要:用Mnch不动点定理,研究了Banach空间中一阶微分方程组的终值问题,在较宽松的条件下获得了解的新存在性定理,改进和推广了某些已知的结果.

关 键 词:Banach空间  终值问题  Mnch不动点定理  非紧性测度

Existence of Solutions of Terminal Value Problems for Nonlinear First Order Differential Equations Systems in Banach Spaces
Zhang Haiyan.Existence of Solutions of Terminal Value Problems for Nonlinear First Order Differential Equations Systems in Banach Spaces[J].Journal of Chuzhou University,2010,12(5).
Authors:Zhang Haiyan
Abstract:By using Mnch fixed theorem,we study existence of solutions of terminal value problems for nonlinear first order differential equations systems in Banach spaces.Under weaker conditions,the new existence theorem is obtained and some known results have been improved.
Keywords:Banach spaces  terminal value problems  Mnch fixed point theorem  measure of noncompactness
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