http://scholars.ntou.edu.tw/handle/123456789/14580
標題: | On the Maximum and Minimum of Some Functionals for the Eigenvalue Problem of Sturm-Liouville Type | 作者: | Hua-Huai Chern Shen C.L. |
公開日期: | 1-一月-1994 | 出版社: | ScienceDirect | 卷: | 107 | 期: | 1 | 起(迄)頁: | 68-79 | 來源出版物: | Journal of Differential Equations | 摘要: | Let λn(q) be the nth eigenvalue of the Sturm-Liouville equation y′′+(λ−q(x))y=0, y(−l/2) = y(l/2) = 0. With certain restrictions on the class of functions q we determine the shapes of the solutions of the extremal problems for the functionals λn(q) and the minimum problem for the functional λ2(q) − λ1(q). |
URI: | http://scholars.ntou.edu.tw/handle/123456789/14580 | ISSN: | 0022-0396 | DOI: | 10.1006/jdeq.1994.1003 |
顯示於: | 資訊工程學系 |
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