Author: |
王啟光 Chii Guang Wang |
---|---|
Thesis Title: |
高階非線性方程問題之探討 Higher order abstract Cauchy problem |
Advisor: |
張幼賢
Chang, Yu-Hsien |
Degree: |
碩士 Master |
Department: |
數學系 Department of Mathematics |
Thesis Publication Year: | 2000 |
Academic Year: | 88 |
Language: | 中文 |
Number of pages: | 19 |
Keywords (in Chinese): | 高階抽象柯西問題 |
Keywords (in English): | Higher order abstract Cauchy problem with initial data |
Thesis Type: | Academic thesis/ dissertation |
Reference times: | Clicks: 176 Downloads: 7 |
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摘要
本篇論文主要是探討下列在 Banach 空間X上的高階抽象柯西問題(Higher order abstract Cauchy problem with initial data),
其中Ai 為在X上 C0半群的生成元,滿足某些條件,且f(t,u) 亦滿足某些適當條件下,我們證明了解的存在性和唯一性,並得到解的表現式。
This paper discusses the higher order abstract Cauchy problem with initial data on a Banach space X.Where Ai is a C0-semigroup
on X.We get the existance,uniqueness,and presentation of solution.
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