๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On the determination of a Hill's equation from its spectrum

โœ Scribed by Harry Hochstadt


Publisher
Springer
Year
1965
Tongue
English
Weight
391 KB
Volume
19
Category
Article
ISSN
0003-9527

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


On the eigenvalues of Hill's equation
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
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.