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Author: 蔡斐名
Tsai Fai Ming
Thesis Title: 高階抽象柯西問題之探討
The higher order 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: 34
Keywords (in Chinese): 柯西問題高階抽象半群
Keywords (in English): Cauchy problem, high order, abstract, semi-group
Thesis Type: Academic thesis/ dissertation
Reference times: Clicks: 253Downloads: 12
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  • 本篇論文主要是討論在Banach空間上的高階抽象柯西方程,解的存在性及唯一性並且得到解的表現式.

    The paper's main idea is about the higher order Cauchy problem
    in Banach Space.

    1.摘要(p.1) 2.簡介(p.2) 3.齊次方程式解的存在性、唯一性及解的表現式(p.5) 4.非齊次方程解的存在性和唯一性(p.19) 5.應用(p.28)

    [1] Eran, L. C. , Partial Differential Equations, Amer. Math. Soc., Providence, 1998
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    [3] Goldstein, G. R., J. A. Goldstein ,and E. Obrecht, Structure of solutions to linear evolution equations: extensions of d’Alembert’s formula, J. Math. Anal. App. 201(1996), no. 2, 461-477
    [4] Goldstein, J. A., J. T. Sandefur, An abstract d’Alembert formula, SIAM J. Math. Anal. 18 (1987), no. 3, 842-856.
    [5] Goldstein, J. A., R. delaubenfels, and J. T. Sandefur, Regularized semigroups, iterated Cauchy problems and equipartition of energy, Mh. Math., 115 (1993), 47-66.

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