Banach空间不连续脉冲微分-积分方程的周期边值问题  

PERIODIC BOUNDARY VALUE PROBLEMS FOR DISCONTINUOUS IMPULSIVE INTEGRO- DIFFERENTIAL EQUATIONS IN BANACH SPACES

作　　者：刘笑颖[1] 吴从炘[2] 

机构地区：[1]徐州师范大学数学系,徐州221009 [2]哈尔滨工业大学数学系,哈尔滨150001

出　　处：《系统科学与数学》2003年第3期374-380,共7页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金

摘　　要：本文讨论了Banach空间含间断项的一阶混合型脉冲微分-积分方程的周期边值问题,通过建立一个比较定理,应用不动点定理与上、下解方法证明了最大解、最小解及迭代解的存在性,推广改进了某些文献中的相应结果。In this paper, the periodic boundary value problem for first order discontinuous impulsive integro-differential equations of mixed type in Banach spaces is investigated. By establishing a comparison theorem and using a fixed point theorem, the existence of maximal and minimal solutions and the successive approximation of solutions are proved. These generalize and improve the corresponding results in some well-known papers.

关 键 词：BANACH空间 脉冲微分-积分方程 周期边值问题 解 不动点定理 存在性 比较定理 

分 类 号：O177.91[理学—数学]