非局部条件下的脉冲中立型泛函微分方程(英文)  

Impulsive Neutral Functional Differential Equations with Nonlocal Conditions

作　　者：常娟[1] 薛星美[2] 

机构地区：[1]郑州航空工业管理学院数理系,河南郑州450015 [2]东南大学数学系,江苏南京210096

出　　处：《应用泛函分析学报》2008年第3期211-218,共8页Acta Analysis Functionalis Applicata

基　　金：Youth Natural Science Foundation of Zhengzhou Institute of Aeronautical Industry Management under Grant(Q06G063)

摘　　要：利用Sadovskii不动点定理研究了一类脉冲中立型泛函微分方程,证明了适度解的存在性.最后,给出了上述问题在偏微分方程方面的一个应用.We consider an impulsive neutral functional differential equation with nonlocal conditions. By using the Sadovskii＇s fixed-point theorem we prove the existence of the mild solution. At last, an application of this problem in partial differential equation is also discussed.

关 键 词：非局部条件 等度连续 不动点 可分BANACH空间 脉冲 适度解 

分 类 号：O175.3[理学—数学]