Controllability on infinite time horizon for first and second order functional differential inclusions in Banach spaces

Mouffak Benchohra; Lech Górniewicz; Sotiris Ntouyas

ArticleOriginal scientific text

Title

Controllability on infinite time horizon for first and second order functional differential inclusions in Banach spaces

Authors ¹, ², ³

Affiliations

Department of Mathematics, University of Sidi Bel Abbes, BP 89, 22000 Sidi Bel Abbes, Algeria
Faculty of Mathematic and Informatic Science, Nicholas Copernicus University, Chopina 12/18, 87-100 Toruń, Poland
Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece

Abstract

In this paper, we shall establish sufficient conditions for the controllability on semi-infinite intervals for first and second order functional differential inclusions in Banach spaces. We shall rely on a fixed point theorem due to Ma, which is an extension on locally convex topological spaces, of Schaefer's theorem. Moreover, by using the fixed point index arguments the implicit case is treated.

Keywords

ENG

controllability, mild solution, evolution, fixed point

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Title

Controllability on infinite time horizon for first and second order functional differential inclusions in Banach spaces

Affiliations

Abstract

Keywords

Bibliography