Thanh Lan Nguyen
Abstract:
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 email: Lan.Nguyen@wku.edu |
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