標題: | 局部凸空間上的歌西問題 Cauchy Problem in Locally Convex Spaces |
作者: | 林朝枝 C.Y.Lin |
公開日期: | 四月-1978 |
出版社: | 交大學刊編輯委員會 |
摘要: | Let S be a locally convex space.We use the product integration to show that Cauchy initial value problem: u'(x)=Au(x),u)o)=p,has a unique solution,where A is a function from S into itself and u is a continuously differentiable function from [0,∞) into S . The conditions required on A arethat A is dissipative, and there exists an open subset C of S such that A is continuous on C and the range of (I-εA) contains C as εis sufficiently small. |
URI: | http://hdl.handle.net/11536/137605 |
期刊: | 交通大學學報 The Journal of National Chiao Tung University |
Volume: | 4 |
起始頁: | 33 |
結束頁: | 38 |
顯示於類別: | 交通大學學報 |