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Controllability of impulsive semilinear functional differential inclusions with finite delay in Fréchet spaces. (English) Zbl 1145.34047

In this very technical paper, the authors study existence of solutions and controllability properties of semilinear impulsive functional differential inclusions in Fréchet spaces. Previous works studied the problem when the dynamics matrix is nondensely defined and generates an integral semigroup on compact intervals with finite delay. This paper focuses on the case of densely defined linear operators, using techniques from nonlinear analysis and semigroup theory.

MSC:

34K30 Functional-differential equations in abstract spaces
93B05 Controllability
34K45 Functional-differential equations with impulses
34K35 Control problems for functional-differential equations
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