✦ LIBER ✦

Hill's Equation Systems and Infinite Determinants

✍ Scribed by Robert Denk

Publisher: John Wiley and Sons
Year: 1995
Tongue: English
Weight: 599 KB
Volume: 175
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.19951750105

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✦ Synopsis

In this paper a method is developed to calculate the Floquet exponents of the matrix-valued version of Hill's equation using infinite determinants. It is shown that the Floquet exponents are precisely the zeros of an infinite determinant corresponding to the differential equation. The proof of this result uses the continuity and holomorphy of the infinite determinant.

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On the Floquet Exponents of Hill's Equat

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