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Nonlocal m-Dissipative Evolution Inclusions in General Banach Spaces

Nonlocal m-Dissipative Evolution Inclusions in General Banach Spaces In this paper, we study a class of a multivalued perturbations of m-dissipative evolution inclusions with nonlocal initial condition in arbitrary Banach spaces. We prove the existence of solutions when the multivalued right hand side is Lipschitz and admits nonempty closed bounded, but in general case, neither convex nor compact values. Illustrative example is provided. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mediterranean Journal of Mathematics Springer Journals

Nonlocal m-Dissipative Evolution Inclusions in General Banach Spaces

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References (19)

Publisher
Springer Journals
Copyright
Copyright © 2017 by Springer International Publishing AG
Subject
Mathematics; Mathematics, general
ISSN
1660-5446
eISSN
1660-5454
DOI
10.1007/s00009-017-1016-5
Publisher site
See Article on Publisher Site

Abstract

In this paper, we study a class of a multivalued perturbations of m-dissipative evolution inclusions with nonlocal initial condition in arbitrary Banach spaces. We prove the existence of solutions when the multivalued right hand side is Lipschitz and admits nonempty closed bounded, but in general case, neither convex nor compact values. Illustrative example is provided.

Journal

Mediterranean Journal of MathematicsSpringer Journals

Published: Sep 27, 2017

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