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Applicable Analysis
An International Journal
Volume 85, 2006 - Issue 10
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Original Articles

Extrapolation spaces and controllability of impulsive semilinear functional differential inclusions with infinite delay in Fréchet spaces

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Pages 1255-1270 | Received 06 Jan 2006, Accepted 25 May 2006, Published online: 04 Jan 2007
 

Abstract

In this article, we investigate some classes of semilinear impulsive functional differential inclusions with infinite delay. It is assumed that the linear part is possibly neither densely defined nor it satisfies the Hille–Yosida condition on a Banach space, namely the extrapolated space. Our approach is based on the theory of extrapolation spaces combined with a recent Frigon nonlinear alternative for multivalued admissible contractions in Fréchet spaces.

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