Banach空间非线性混合型微分-积分方程整体解的存在性和唯一解  

Global Solutions of Initial Value Problem for Nonlinear Integro-Differential Equations of Mixed Type in Banach Spaces

作　　者：刘立山[1] 吴从炘[1] 郝兆才[2] 

机构地区：[1]哈尔滨工业大学数学系,黑龙江哈尔滨150001 [2]曲阜师范大学数学科学学院,山东曲阜273165

出　　处：《应用泛函分析学报》2005年第4期331-338,共8页Acta Analysis Functionalis Applicata

基　　金：国家自然科学基金(10471075;10271035);山东省自然科学基金(Y2003A01)

摘　　要：研究了Banach空间中非线性混合型微分-积分方程初值问题u′=f(t,u,Tu,Su),u(0)=x0的整体解,完全没有要求f的任何增性,利用Mnch不动点定理和比较结果得到了初值问题整体解的存在性和唯一解,并且给出了一致收敛于唯一解的迭代序列,改进推广和统一了已有的许多结果.In this paper, the global solutions of initial value problem differential equation of mixed type in Banach spaces are investigated. assumption of f, the existence and uniquence of solutions and its iterative ap for nonlinear integro-Without any monotone proximation are obtained by using Monch fixed point theorem and comparsion results. The results presented here improved, extended and unified many well-known results.

关 键 词：混合型微分-积分方程 非紧性测度 不动点 整体解 

分 类 号：O175.6[理学—数学] O175.15[理学—基础数学]