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

Selma Bendimerad Baghli, Djillali Aoued


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.


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

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