Controllability of Mild Solutions for Evolution Equations with Infinite State-Dependent Delay

Selma Bendimerad Baghli, Djillali Aoued

Abstract

We consider in this paper the controllability of mild solutions defined on the semi-infinite positive real interval fortwo classes of first order partial functional and neutral functional evolution equations with infinite state-dependent delay using a nonlinear alternative due to Avramescu for sum of compact and contraction operators in Fréchet spaces, combined with the semigroup theory.

Keywords

Controllability, Mild solution, Evolution equations, Neutral problems, Infinite delay, State-dependent delay, Fixed point, Nonlinear alternative, Semigroup theory, Fréchet spaces.

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