EXISTENCE OF SOLUTIONS ON COMPACT AND NON-COMPACT INTERVALS FOR SEMILINEAR IMPULSIVE DIFFERENTIAL INCLUSIONS WITH DELAY

@inproceedings{Benedetti2008EXISTENCEOS,
  title={EXISTENCE OF SOLUTIONS ON COMPACT AND NON-COMPACT INTERVALS FOR SEMILINEAR IMPULSIVE DIFFERENTIAL INCLUSIONS WITH DELAY},
  author={Irene Benedetti},
  year={2008}
}
In this paper we deal with impulsive Cauchy problems in Banach spaces governed by a delay semilinear differential inclusion y′ ∈ A(t)y +F (t, yt). The family {A(t)}t∈[0,b] of linear operators is supposed to generate an evolution operator and F is a upper Carathèodory type multifunction. We first provide the existence of mild solutions on a compact interval and the compactness of the solution set. Then we apply this result to obtain the existence of mild solutions for the impulsive Cauchy… CONTINUE READING

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