Controllability of Mild Solutions for Evolution Equations with Infinite State-Dependent Delay
Keywords:Controllability, Mild solution, Evolution equations, Neutral problems, Infinite delay, State-dependent delay, Fixed point, Nonlinear alternative, Semigroup theory, FrÃ©chet spaces.
AbstractWe 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 FrÃ©chet spaces, combined with the semigroup theory.
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