Nonlinear Volterra delay evolution inclusions subjected to nonlocal initial conditions
type: Item
instance of: scholarly article
title: Nonlinear Volterra delay evolution inclusions subjected to nonlocal initial conditions
zbMATH Open document ID: 1492.34067
DOI: 10.12775/TMNA.2020.065
author: Yang-Yang Yu
author: Rong-Nian Wang
author: Ioan I. Vrabie
published in: Topological Methods in Nonlinear Analysis
publication date: 2022-02-15T00:00:00Z
review text: In the paper under review, the authors investigate nonlinear Volterra delay evolution inclusions subjected to nonlocal implicit initial conditions. The authors first analyze the evolution inclusions subjected to a local initial condition and prove an existence result for bounded continuous solutions. After that, some results from the fixed point theory for upper semicontinuous multifunctions with contractible values are employed to obtain a global solvability result for the original problem. The results are well illustrated and an interesting application is given in the study of a partial differential inclusion of Volterra type.
Mathematics Subject Classification ID: 34G25
Mathematics Subject Classification ID: 45D05
Mathematics Subject Classification ID: 34A12
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 7473905
zbMATH Keywords: Volterra delay evolution inclusion
zbMATH Keywords: nonlocal implicit initial condition
zbMATH Keywords: \(C^0\)-solutions
zbMATH Keywords: equicontinuous semigroup
zbMATH Keywords: global solvability
reviewed by: Marko Kostić
MaRDI profile type: Publication
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full work available at URL: tmna.2020.065
OpenAlex ID: W3199035464
description: scientific article; zbMATH DE number 7473905