Topological Methods in Nonlinear Analysis

On the structure of the solution set of abstract inclusions with infinite delay in a Banach space

Lahcene Guedda

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In this paper we study the topological structure of the solution set of abstract inclusions, not necessarily linear, with infinite delay on a Banach space defined axiomatically. By using the techniques of the theory of condensing maps and multivalued analysis tools, we prove that the solution set is a compact $R_\delta$-set. Our approach makes possible to give a unified scheme in the investigation of the structure of the solution set of certain classes of differential inclusions with infinite delay.

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Topol. Methods Nonlinear Anal., Volume 48, Number 2 (2016), 567-595.

First available in Project Euclid: 21 December 2016

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Guedda, Lahcene. On the structure of the solution set of abstract inclusions with infinite delay in a Banach space. Topol. Methods Nonlinear Anal. 48 (2016), no. 2, 567--595. doi:10.12775/TMNA.2016.060.

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