研究生: |
王啟光 Chii Guang Wang |
---|---|
論文名稱: |
高階非線性方程問題之探討 Higher order abstract Cauchy problem |
指導教授: |
張幼賢
Chang, Yu-Hsien |
學位類別: |
碩士 Master |
系所名稱: |
數學系 Department of Mathematics |
論文出版年: | 2000 |
畢業學年度: | 88 |
語文別: | 中文 |
論文頁數: | 19 |
中文關鍵詞: | 高階抽象柯西問題 |
英文關鍵詞: | Higher order abstract Cauchy problem with initial data |
論文種類: | 學術論文 |
相關次數: | 點閱:178 下載: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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