Searching for just a few words should be enough to get started. If you need to make more complex queries, use the tips below to guide you.
Article type: Research Article
Authors: Schäfke, Reinhard | Volkmer, Hans
Affiliations: Fachbereich Mathematik, Universität Essen GHS, Universitätsstraße 3, 4300 Essen 1, Fed. Rep. Germany
Abstract: We derive bounds for the values of L2-normalized eigenfunctions of Sturm–Liouville systems containing k spectral parameters λ1,…,λk. In the case of continuous coefficients this bound is of order O(|λ|k/4 as |λ|→∞, where λ=(λ1,…,λk) is the corresponding eigenvalue and |λ|=max|λi|. If the coefficients are continuously differentiable then we obtain a better bound of order O(|λ|(k−1)/6). The latter result generalizes a bound of order O(|λ|1/6) given by Faierman (1980) in the two-parameter case k = 2 under the assumption of analytic coefficients. We show by examples that the powers ¼k and ⅙(k−1) of |λ| in the above bounds are optimal.
DOI: 10.3233/ASY-1989-2203
Journal: Asymptotic Analysis, vol. 2, no. 2, pp. 139-159, 1989
IOS Press, Inc.
6751 Tepper Drive
Clifton, VA 20124
USA
Tel: +1 703 830 6300
Fax: +1 703 830 2300
[email protected]
For editorial issues, like the status of your submitted paper or proposals, write to [email protected]
IOS Press
Nieuwe Hemweg 6B
1013 BG Amsterdam
The Netherlands
Tel: +31 20 688 3355
Fax: +31 20 687 0091
[email protected]
For editorial issues, permissions, book requests, submissions and proceedings, contact the Amsterdam office [email protected]
Inspirees International (China Office)
Ciyunsi Beili 207(CapitaLand), Bld 1, 7-901
100025, Beijing
China
Free service line: 400 661 8717
Fax: +86 10 8446 7947
[email protected]
For editorial issues, like the status of your submitted paper or proposals, write to [email protected]
如果您在出版方面需要帮助或有任何建, 件至: [email protected]