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On the solvability of Hill's equation by quadrature

โœ Scribed by Wallace Goldberg; Harry Hochstadt

Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
223 KB
Volume
112
Category
Article
ISSN
0022-247X

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๐Ÿ“œ SIMILAR VOLUMES

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โœ L. E. Blumenson ๐Ÿ“‚ Article ๐Ÿ“… 1963 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 253 KB
On the Floquet Exponents of Hill's Equat
On the Floquet Exponents of Hill's Equation Systems
โœ Robert Denk ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 292 KB ๐Ÿ‘ 1 views

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.