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

Year 2019, , 141 - 149, 31.08.2019

Aurelian Cernea

https://doi.org/10.31197/atnaa.612236

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

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