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On the Floquet Exponents of Hill's Equation Systems

✍ Scribed by Robert Denk

Publisher
John Wiley and Sons
Year
1995
Tongue
English
Weight
292 KB
Volume
172
Category
Article
ISSN
0025-584X

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✦ Synopsis

For the k x k-matrix-valued version of Hill's equation it is shown that the dimension of the matrix needed to compute the Floquet exponents can be reduced from 2k to k. Also the existence of periodic solutions is equivalent to the non-invertibility of certain k x k-matrices.

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