頁籤選單縮合
題 名 | On a Theorem of Sobol |
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作 者 | 王世榮; | 書刊名 | Bulletin of the Institute of Mathematics Academia Sinica |
卷 期 | 27:4 1999.12[民88.12] |
頁 次 | 頁253-264 |
分類號 | 314.222 |
關鍵詞 | Second order; Linear; Ordinary differential equations; Damping term; Oscillation; |
語 文 | 英文(English) |
英文摘要 | Consider the second order linear differential equation (E)x"+p(t)x'+q(t)x=0 on (tο,∞) where p, q�e C [tο,∞). Sobol proved that if lim�均���-p(t)/2+[q-p��/4]=∞, then (E) is oscillatory. Extensions of Sobol's theorem are given which comprises results of Wintner, Hartman, Kamenev, and Bultler, Erbe and Mingarelli for the undamped equation x"+q(t)x=0. |
本系統中英文摘要資訊取自各篇刊載內容。