Nonconvex second-order differential inclusions with memory
type: Item
instance of: scholarly article
title: Nonconvex second-order differential inclusions with memory
zbMATH Open document ID: 0824.34020
DOI: 10.1007/BF01033642
published in: Set-Valued Analysis
publication date: 1995-07-13T00:00:00Z
review text: A second-order differential inclusion with a memory of the form \(x'(t)\in G(x(t))\), \(x''(t)\in -N_{G(x(t))} x'(t)+ F(t, T(t) x)\) is considered in the Euclidean space \(\mathbb{R}^ n\) or in a Hilbert space. Here \(N\) denotes the inward Clarke's normal cone. Existence theorems for the above system are given either for \(F\) non-convex valued or for both \(F\) and \(G\) non- convex valued.
Mathematics Subject Classification ID: 34A60
Mathematics Subject Classification ID: 35G10
Mathematics Subject Classification ID: 35K25
Mathematics Subject Classification ID: 34G20
zbMATH DE Number: 773790
zbMATH Keywords: existence
zbMATH Keywords: second-order differential inclusion with a memory
zbMATH Keywords: Hilbert space
author: Trúóng Xuân Dúc Hā
author: M. D. P. Monteiro Marques
reviewed by: Vlastimil Křivan
MaRDI profile type: Publication
cites work: Q3324260
cites work: Set-valued analysis
cites work: Directionally continuous selections in Banach spaces
cites work: Evolution equations governed by the sweeping process
cites work: Convex analysis and measurable multifunctions
cites work: Optimization and nonsmooth analysis
cites work: Proximal and Fréchet normal formulae for some small normal cones in Hilbert space
cites work: The proximal normal formula in Hilbert space
cites work: Differential inclusions in nonsmooth mechanical problems. Shocks and dry friction
cites work: Q3327400
cites work: Clarke's tangent cones and the boundaries of closed sets in Rn
cites work: Shrinking generalized gradients
full work available at URL: https://doi.org/10.1007/bf01033642
OpenAlex ID: W2000480666
description: scientific article; zbMATH DE number 773790