Banach空间中无穷区间上n阶非线性脉冲微分-积分方程初值问题的整体解  

Initial Problems for nth Order Nonlinear Impulsive Integro-differential Equation on an Infinite Interval in a Banach Space

作　　者：刘振斌[1] 刘立山[1] 赵静[2] 

机构地区：[1]曲阜师范大学数学科学学院,曲阜273165 [2]莱阳农学院理学院,青岛266109

出　　处：《应用泛函分析学报》2008年第3期245-251,共7页Acta Analysis Functionalis Applicata

基　　金：国家自然科学基金(10471075);高等学校博士点专项基金(20060446001);山东省自然科学基金(Y2003A01)

摘　　要：利用Banach不动点定理,通过逐步求解方法,在较宽松的条件下,给出了Banach空间中无穷区间上n阶非线性脉冲微分-积分方程初值问题的整体解的存在定理,对最近出现的结果作了重要推广,并举例说明了本文结果的应用.By applying the Banach fixed point theorem and through solving the problem step-step, under simple conditions, the existence and uniqueness solution of initial value problems for nonlinear nth order impulsive differential-integro equations on an infinite interval in a Banach space are obtained. The recent results are improved and generalized and an example is presented to demonstrate the applications of our main result.

关 键 词：非线性脉冲方程 初值问题 BANACH不动点定理 无穷区间 

分 类 号：O175.8[理学—数学]