Browsing by Author "C.Y.Lin"

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局部凸空間上的歌西問題
(交大學刊編輯委員會, 1978-04)
林朝枝
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C.Y.Lin
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.