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題 名 | Asymptotic Behavior of Solutions of a Higher Order Linear Differential Equation=高階線性微分方程解的漸進行為 |
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作 者 | 林慶壽; | 書刊名 | 醒吾學報 |
卷 期 | 28 民93.12 |
頁 次 | 頁149-160 |
分類號 | 314.22 |
關鍵詞 | 漸進行為; 高階線性微分方程; Asymptotic behavior; Higher order linear differential equation; |
語 文 | 英文(English) |
中文摘要 | 證明微分方程式Lu=n∑j=0 aj(x)u(j)(x)=0 in (α,∞)有n-γ(n)個線性獨立解使得其非零的線性組合必為無界的,其中若n為偶數時γ(n) is n/2,若n為奇數時γ(n) is n+1/2 |
英文摘要 | We show that there exists n-γ(n) linearly independent solutions of the differential equation of the form Lu=n∑j=0 aj(x)u(j)(x)=0 in (α,∞) Such that every linear combination of them is unbounded, expect the trivial solution, where γ(n) is n/2 if n is even and it n+1/2 if n is odd. |
本系統中英文摘要資訊取自各篇刊載內容。