✦ LIBER ✦

Geometric aspects of Sturm–Liouville problems III. Level surfaces of the th eigenvalue

✍ Scribed by Xifang Cao; Qingkai Kong; Hongyou Wu; Anton Zettl

Publisher: Elsevier Science
Year: 2007
Tongue: English
Weight: 254 KB
Volume: 208
Category: Article
ISSN: 0377-0427
DOI: 10.1016/j.cam.2006.10.040

No coin nor oath required. For personal study only.

✦ Synopsis

For a given regular Sturm-Liouville equation and any natural number n, we explicitly describe the level surfaces of the nth eigenvalue of the equation, regarded as a function on the space of self-adjoint boundary conditions. The description of each level surface uses only a particular value of the transfer matrix of the equation. The shapes of these surfaces are also determined.

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