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Banach空间不连续的脉冲微分-积分方程的解与迭代解
引用本文:刘笑颖,吴从.Banach空间不连续的脉冲微分-积分方程的解与迭代解[J].数学学报,2001,44(3):469-474.
作者姓名:刘笑颖  吴从
作者单位:1. 哈尔滨工业大学数学系;徐州师范大学数学系
2. 哈尔滨工业大学数学系
基金项目:国家自然科学基金资助项目(19971019)
摘    要:本文通过建立一个比较结果,应用不动点定理与上、下解方法,讨论了Banach空间含间断项的一阶混合型脉冲微分-积分方程初值问题的最大解和最小解,并在非线性项满足Caratheodory条件时获得了解的迭代,推广改进了某些文献中的相应结果.

关 键 词:不连续初值问题  脉冲微分-积分方程  上、下解
文章编号:0583-1431(2001)03-0469-06
修稿时间:1999年11月8日

Solutions and Iterative Solutions of Discontinuous Impulsive Integro-Differential Equations in Banach Spaces
LIU Xiao Ying.Solutions and Iterative Solutions of Discontinuous Impulsive Integro-Differential Equations in Banach Spaces[J].Acta Mathematica Sinica,2001,44(3):469-474.
Authors:LIU Xiao Ying
Institution:LIU Xiao Ying (Department of Mathematics, Harbin Institute of Technology, Harbin 150001, P. R. China) (Department of Mathematics, Xuzhou Normal University, Xuzhou 221009, P. R. China) WU Cong Xin (Department of Mathematics, Harbin Institute of Technology,
Abstract:By establishing a comparison result and using the fiXed point theorem and the method of the upper and lower solutions, the maximal and minimal solutions of the initial value problem for the first order impulsive integro-differential equations of mixed type with discontinuous terms in Banach spaces are investigated. In the case that the nonlinearity satisfies the Caratheodory condition, we obtain the successive approximation of solutions. Our results improve and generalize those in some wellknown papers.
Keywords:Discontinuous initial value problem  Impulsive integro-differential equations  Upper and lower solutions
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