Banach空间中微分包含周期边值问题的唯一解和误差估计(英文)  

Unique Solution and Error Estimate for Periodic Boundary Value Problem of Differential Inclusions in Banach Spaces

作　　者：宋福民[1] 

机构地区：[1]南昌航空工业学院信息与计算科学系,江西南昌330034

出　　处：《应用泛函分析学报》2005年第1期13-21,共9页Acta Analysis Functionalis Applicata

基　　金：SupportedbyNaturalScienceFoundationofJiangxiProvince(0011026);Testand ControlCenterFundationofJiangxiProvince(2001.018)

摘　　要：旨在Banach空间中研究微分包含的周期边值问题(PBVP).假设F(t,u)仅满足弱Carathèodory条件,并不使用紧性条件,然而仍证明了该PBVP的唯一解能通过迭代序列的一致极限得到,并且还给出了解的误差估计.The periodic boundary value problem (PBVP) of the differential inclusions in Banach spaces was presented. Assuming that only F(t, u) satisfies the weak Carathèodory condition without use of the compactness condition, however, the unigue solution of the PBVP can be obtained by the uniform limit of the iterative sequences still was proved. And the error estimate of the approximate solution was given.

关 键 词：BANACH空间 微分包含 弱Carathéodory条件 误差估计 周期边值问题 

分 类 号：O177.2[理学—数学] O175.8[理学—基础数学]