Evolution inclusions involving a difference term of subdifferentials and applications
type: Item
instance of: scholarly article
title: Evolution inclusions involving a difference term of subdifferentials and applications
zbMATH Open document ID: 0881.34073
author: Nikolaos S. Papageorgiou
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1998-02-25T00:00:00Z
review text: This paper considers the following differential inclusion \[ -x'(t)\in\partial\phi_1(x(t))- \partial\phi_2(x(t))- F(t,x(t))\tag{1} \] in a Hilbert space. Here \(\phi_1\) and \(\phi_2\) are lower semicontinuous, convex functions, \(\partial\) denotes subdifferential, and \(F(t,x)\) is a set-valued function. Existence theorems under various assumptions on \(F\) (upper or lower semicontinuity) are proved together with a bang-bang theorem. Some examples illustrating applicability of the above results are given.
Mathematics Subject Classification ID: 34G20
Mathematics Subject Classification ID: 49J24
Mathematics Subject Classification ID: 34A60
Mathematics Subject Classification ID: 34H05
zbMATH DE Number: 1062330
zbMATH Keywords: evolution inclusion
zbMATH Keywords: optimal control
zbMATH Keywords: differential inclusion
zbMATH Keywords: subdifferential
zbMATH Keywords: bang-bang theorem
reviewed by: Vlastimil Křivan
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1062330