Relaxation of nonlocal m-dissipative differential inclusions-Reference-Cited by-同舟云学术

Relaxation of nonlocal m-dissipative differential inclusions

Published:2019-12-01 Issue:3 Volume:27 Page:45-63
ISSN:1844-0835
Container-title:Analele Universitatii "Ovidius" Constanta - Seria Matematica
language:en
Short-container-title:

Author:

Bilal S.¹,Cârjă O.²,Donchev T.¹,Javaid N.¹,Lazu A. I.³

Affiliation:

1. Abdus Salam School of Mathematical Sciences , 68-B, New Muslim Town, Lahore , Pakistan .

2. Department of Mathematics , “Al. I. Cuza” University , Iaşi 700506 and “Octav Mayer” Mathematics Institute , Romanian Academy , Iaşi 700505 , Romania .

3. Department of Mathematics , “Gh. Asachi” Technical University , Iaşi 700506, Romania .

Abstract

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.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/auom-2019-0033

Reference23 articles.

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5. [5] P. Benilan, Solutions intégrales d’équations d’évolution dans un espace de Banach. C. R. Acad. Sci. Paris Sér. A-B 274 (1972), 47–50.

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