Electron. J. Diff. Equ., Vol. 2010(2010), No. 72, pp. 1-12.

Almost periodic solutions of higher order differential equations on Hilbert spaces

Lan Thanh Nguyen

Abstract:
We find necessary and sufficient conditions for the differential equation
$$ u^{(n)}(t) = Au(t)+f(t), \quad t\in \mathbb{R} $$
to have a unique almost periodic solution. Some applications are also given.

Submitted March 26, 2010. Published May 17, 2010.
Math Subject Classifications: 34G10, 34K06, 47D06.
Key Words: Almost periodic; higher order differential equations

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Lan Thanh Nguyen
Department of Mathematics
Western Kentucky University
Bowling Green, KY 42101, USA
email: Lan.Nguyen@wku.edu

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