Thanh Lan Nguyen
We give necessary and sufficient conditions for the periodicity of mild solutions to the the higher order differential equation , , in a Banach space . Applications are made to the cases, when generates a -semigroup or a cosine family, and when is a Hilbert space.
Submitted February 18, 2004. Published June 4, 2004.
Math Subject Classifications: 34G10, 34K06, 47D06.
Key Words: Abstract Cauchy problems, Fourier series, periodic mild solutions, semigroups and cosine families.
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| Thanh Lan Nguyen |
Department of Mathematics
Western Kentucky University
Bowling Green, KY 42101, USA
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