| BANACH空间微分方程一个弱解存在定理 |
| |
| 引用本文： | 李文林.BANACH空间微分方程一个弱解存在定理[J].河南师范大学学报(自然科学版),1987(4). |
| |
| 作者姓名： | 李文林 |
| |
| 作者单位： | 河南师范大学数学系 |
| |
| 摘 要： | 对于Banach空间微分方程{x(t)=f(t,x(t)) tεJ=0,a]x(0)=x。(1)的弱解存在性,Deimlng在自反Banach空间和X~*一致凸情况下,给出了两个存在定理1],Lakshmikantham借助于弱耗散型条件也给出了一个存在定理2],本文是从弱非紧测度考虑,在较弱的条件下得出了另外一个弱解存在定理
|
| 关 键 词： | 巴拿赫空间 方程 弱解 非紧性 |
AN EXISTENCE THEORM FOR WEAK SOLUTION OF DIFFERENTIAL EQUATION IN BANACH SPACE |
| |
| Li Wenlin Mathematice department.AN EXISTENCE THEORM FOR WEAK SOLUTION OF DIFFERENTIAL EQUATION IN BANACH SPACE[J].Journal of Henan Normal University(Natural Science),1987(4). |
| |
| Authors: | Li Wenlin Mathematice department |
| |
| Institution: | Li Wenlin Mathematice department |
| |
| Abstract: | For the differeantial equation in Banach Space Deimling has given two existence theorms1]for weak solution of differential equation(1)at the reflexive Banach spaea and the case of X uniformly convex. By means of dissipative type condition, Laksh nikantham gave an existence theorm too. In this article we start with noncompactness type conditions obtain another existence theorm for weak soution of differential equation(1). |
| |
| Keywords: | Banach Space Equation Weak Solution Noncompactness |
| 本文献已被 CNKI 等数据库收录！ |
