Nezam Iraniparast, Lan Nguyen
Abstract:
We give necessary and sufficient conditions
for the periodicity of solutions of mild solutions to
the iterated higher-order differential equation
in a Hilbert space. Our results are illustrated with examples and applications.
Published March 21, 2016.
Math Subject Classifications: 34G10, 34K06, 47D06.
Key Words: Abstract higher-order differential equations;
Fourier series; periodic mild solutions; operator semigroups.
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Nezam Iraniparast Department of Mathematics Western Kentucky University Bowling Green KY 42101, USA email: Nezam.Iraniparast@wku.edu | |
Lan Nguyen Department of Mathematics Western Kentucky University Bowling Green KY 42101, USA email: Lan.Nguyen@wku.edu |
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