NDLI: One Sided Lipschitz Evolution Inclusions in Banach Spaces

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One Sided Lipschitz Evolution Inclusions in Banach Spaces

Content Provider	MDPI
Author	Koam, Ali N. A. Donchev, Tzanko Lazu, Alina I. Rafaqat, Muhammad Ahmad, Ali
Copyright Year	2021
Description	Using the notion of limit solution, we study multivalued perturbations of m-dissipative differential inclusions with nonlocal initial conditions. These solutions enable us to work in general Banach spaces, in particular $L1$ . The commonly used Lipschitz condition on the right-hand side is weakened to a one-sided Lipschitz one. No compactness assumptions are required. We consider the cases of an arbitrary one-sided Lipschitz condition and the case of a negative one-sided Lipschitz constant. Illustrative examples, which can be modifications of real models, are provided.
Starting Page	3265
e-ISSN	22277390
DOI	10.3390/math9243265
Journal	Mathematics
Issue Number	24
Volume Number	9
Language	English
Publisher	MDPI
Publisher Date	2021-12-16
Access Restriction	Open
Subject Keyword	Mathematics One Sided Lipschitz Limit Solutions Nonlocal Problems
Content Type	Text
Resource Type	Article

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