J. Aust. Math. Soc. 83 (2007), no. 3, pp. 417–422.

Periodic solution of the Cauchy problem

Trung Dinh Tran
Foundation Program
Qatar University
P.O. Box 2713, Doha
Received 13 February 2006; revised 5 July 2006
Communicated by J. Koliha


We derive necessary and sufficient conditions for the existence of a time-periodic solution to the abstract Cauchy problem.

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2000 Mathematics Subject Classification: primary 47A10, 47A60; secondary 34G10
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