Banach空间中二阶非线性脉冲微分-积分方程初值问题的整体解  

Initial Problems for Nonlinear Second Order Impulsive Integro-differential Equation in Banach Space

作　　者：徐玉梅[1] 

机构地区：[1]曲阜师范大学数学系,山东曲阜273165

出　　处：《数学物理学报（A辑）》2005年第1期47-56,共10页Acta Mathematica Scientia

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

摘　　要：通过逐步求解,应用Banach不动点定理,在较宽松的条件下,获得了Banach空间中二阶非线性脉冲微分-积分方程初值问题解的存在性与唯一性及解的迭代逼近.对文[1]的结果及文[2]相应于d0=0的结果,作了重要改进和推广.Through solving the problem step-step and by applying Banach fixed-point theorem, under simple conditions, the author has obtained existence and uniqueness and iterative approximation of solution for initial value problems of nonlinear second order impulsive integrol-differential equations in Banach space, and improved and generalized the corresponding results of [1] and [2] for d-0=0. Moreover, the method is different essentially from those in [1],[2].

关 键 词：非线性脉冲方程 初值问题 BANACH不动点定理 

分 类 号：O175.8[理学—数学]