http://scholars.ntou.edu.tw/handle/123456789/14580
Title: | On the Maximum and Minimum of Some Functionals for the Eigenvalue Problem of Sturm-Liouville Type | Authors: | Hua-Huai Chern Shen C.L. |
Issue Date: | 1-Jan-1994 | Publisher: | ScienceDirect | Journal Volume: | 107 | Journal Issue: | 1 | Start page/Pages: | 68-79 | Source: | Journal of Differential Equations | Abstract: | 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 |
Appears in Collections: | 資訊工程學系 |
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