𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Floquet exponent for instability intervals of Hill's equation

✍ Scribed by James G. Berryman


Publisher
John Wiley and Sons
Year
1979
Tongue
English
Weight
327 KB
Volume
32
Category
Article
ISSN
0010-3640

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Instability intervals of Hill's equation
✍ Dorothy M. Levy; Joseph B. Keller πŸ“‚ Article πŸ“… 1963 πŸ› John Wiley and Sons 🌐 English βš– 364 KB
On the Floquet Exponents of Hill's Equat
✍ Robert Denk πŸ“‚ Article πŸ“… 1995 πŸ› John Wiley and Sons 🌐 English βš– 292 KB πŸ‘ 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.

One application of Floquet's theory to L
✍ Michael Reissig; Karen Yagdjian πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 140 KB

In this paper we consider the strictly hyperbolic equation u RR ! (t)b(t) u"0. The coe$cient consists of an increasing function " (t) and a non-constant periodic function b"b(t). We study the question for the in#uence of these parts on ΒΈN}ΒΈO decay estimates for the solution of the Cauchy problem. A