Floquet exponent for instability intervals of Hill's equation
β Scribed by James G. Berryman
- Publisher
- John Wiley and Sons
- Year
- 1979
- Tongue
- English
- Weight
- 327 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0010-3640
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π SIMILAR VOLUMES
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.
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