Relaxation of nonlocal m-dissipative differential inclusions

Bilal, S.; Cârjă, O.; Donchev, T.; Javaid, N.; Lazu, A. I.

doi:10.2478/auom-2019-0033

Abstract

We show here that the set of the integral solutions of a nonlocal differential inclusion is dense in the set of the solution set of the corresponding relaxed differential inclusion. We further define a notion of limit solution and show that the set of limit solutions is closed and is the closure of the set of integral solutions. An illustrative example is provided.

References

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Relaxation of nonlocal m-dissipative differential inclusions

Abstract

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