Massera criterion for abstract functional differential equations with advance and delay

Authors: Takeshi Nishikawa; Nguyen Van Minh; Toshiki Naito

Source: Applicable Analysis, Volume 83, Number 11, November 2004 , pp. 1171-1185(15)

Publisher: Taylor and Francis Ltd

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Abstract:

This article is concerned with the Massera criterion for periodic mild solutions of the equations of the form where A generates an analytic semigroup on a Banach space X , B is an L ( X )-valued function of bounded variation, and f is a continuous 1-periodic function. The obtained results extend recent ones [13 , 17] on the subject.
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