<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

Relaxation of nonlocal m-dissipative differential inclusions

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Relaxation of nonlocal m-dissipative differential inclusions"}

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...

Relaxation of nonlocal m-dissipative differential inclusions

Published Online: Dec 21, 2019

Page range: 45 - 63

Received: Jan 17, 2019

Accepted: Feb 25, 2019

DOI: https://doi.org/10.2478/auom-2019-0033

Keywords
m-dissipative functional evolution inclusions, nonlocal initial conditions

© 2019 S. Bilal et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Relaxation of nonlocal m-dissipative differential inclusions

Published Online: Dec 21, 2019

Page range: 45 - 63

Received: Jan 17, 2019

Accepted: Feb 25, 2019

DOI: https://doi.org/10.2478/auom-2019-0033

Keywordsm-dissipative functional evolution inclusions, nonlocal initial conditions

© 2019 S. Bilal et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
m-dissipative functional evolution inclusions, nonlocal initial conditions