A nonautonomous Olech type result
type: Item
instance of: scholarly article
title: A nonautonomous Olech type result
zbMATH Open document ID: 1384.34026
author: Mira Bivas
published in: European Journal of Mathematics
publication date: 2017-11-10T00:00:00Z
review text: Let \(F,G : D \times I \multimap \mathbb{R}^n\) be uniformly bounded and measurable multimaps, where \(D \subset \mathbb{R}^n\) and \(I \subset \mathbb{R}\) is a compact interval. Under the assumptions that \(G(\cdot,t)\) is upper semicontinuous and convex-valued, \(F(\cdot,t)\) satisfies some mixed semicontinuity type condition, and \(F\) and \(G\) obey a certain joint tangential condition, the author proves the existence of a local \(D\)-viable solution of the problem \[ \dot{x}(t) \in F(x(t),t) + G(x(t),t),\quad x(t_0) = x_0 \in D,\quad t_0 \in I. \]
reviewed by: Valerii V. Obukhovskij
Mathematics Subject Classification ID: 34A60
Mathematics Subject Classification ID: 37C60
zbMATH DE Number: 6805521
zbMATH Keywords: differential inclusion
zbMATH Keywords: tangential condition
zbMATH Keywords: viable solution
MaRDI profile type: Publication
full work available at URL: s40879-017-0142-8
OpenAlex ID: W2609402323
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DOI: 10.1007/S40879-017-0142-8
description: scientific article; zbMATH DE number 6805521