Abstract
The purpose of this chapter is to develop the theory of a linear periodic RFDE(f) that is analogous to the Floquet theory for ordinary differential equations. It is shown by example that a complete Floquet theory will not exist. However, it is possible to define characteristic multipliers and exploit the compactness of the solution operator to show that a Floquet representation exists on the generalized eigenspace of a characteristic multiplier. The decomposition of the space C by a characteristic multiplier is also applied to the variation-of-constants formula.
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© 1977 Springer-Verlag New York Inc.
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Hale, J.K. (1977). Linear periodic systems. In: Theory of Functional Differential Equations. Applied Mathematical Sciences, vol 3. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-9892-2_9
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DOI: https://doi.org/10.1007/978-1-4612-9892-2_9
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-9894-6
Online ISBN: 978-1-4612-9892-2
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