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題 名 | Asymptotic Behavior of Solutions of a 2n Order Nonlinear Differential System=2n階非線性系統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 | 25 民91.12 |
頁 次 | 頁245-254 |
分類號 | 314.22 |
關鍵詞 | 漸進行為; 高階; 非線性微分方程; Asymptotic behavior; Higher order; Nonlinear differential system; |
語 文 | 英文(English) |
中文摘要 | 本文證明當向量函數f(t,□,□,…,□)滿足某些性質時,2n階非線性系統微分方程的解是無界。此結果為Lin[5]中的一個結果(其敘述為:滿足條件□(α) = 0, k=0,1….,n-1,每一個方程式□+f(t,u) = 0的解是無界的)的推廣。 |
英文摘要 | In this paper we show that every nontrivial solution U of □ order differential system is unbounded provided certain hypotheses of the vector function f(t,□,□,…,□). And from this we can generalize one of the results of Lin [5], which states that every nontrivial solution of □ + □ = 0 with □= 0,k =0.1…,n-1 is unbounded, to □ order differential system. |
本系統中英文摘要資訊取自各篇刊載內容。