Banach空间一阶非线性脉冲微分方程周期边值问题的解  

SOLUTIONS OF PERIODIC BOUNDARY VALUE PROBLEMS FOR FIRST ORDER NONLINEAR IMPULSIVE DIFFERENTIAL EQUATIONS IN BANACH SPACES

作　　者：韦忠礼[1] 

机构地区：[1]山东建筑工程学院基础部,济南250014

出　　处：《系统科学与数学》1999年第3期378-384,共7页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金;山东省自然科学基金青年基金

摘　　要：本文通过建立Ｂａｎａｃｈ空间一阶非线性脉冲微分一积分方程周期边值问题新的比较定理，给出了其最大解和最小解的存在性。In this paper, we investigate the periodic boundary value problems for firstorder nonlinear impulsive integro-differential equations of mixed type in a Banach space. Byestablishing a new comparison result, criteria on the existence of maximal and minimal solutionsare obtained. The results of the paper essentially improve and supplement recent results givenin [7].

关 键 词：周期边值问题 微分积分方程 解 巴拿赫空间 

分 类 号：O175.6[理学—数学]