Some qualitative properties of mild solutions of a second-order integro-differential inclusion

Abstract

We prove the Lipschitz dependence on the initial data of the solution set of a Cauchy problem associated to a second-order integro-differential inclusion by using the contraction

principle in the space of selections of the multifunction instead of the space of solutions. A Filippov type existence theorem for this problem is also provided.

Keywords

• differential inclusion,contraction principle,fixed point

Kaynakça

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