On the regularity of the boundary of the integral funnel of a differential inclusion
type: Item
instance of: scholarly article
title: On the regularity of the boundary of the integral funnel of a differential inclusion
zbMATH Open document ID: 1358.34031
DOI: 10.1134/S0012266116080048
published in: Differential Equations
publication date: 2016-12-27T00:00:00Z
review text: The paper deals with the differential inclusion \[ x'(t)\in F(t,x(t)),\;t\in [t_0,t_1]. \] The integral funnel of the above inclusion, issuing from a compact set \(K\subset \mathbb{R}^n\), is the set \[ \Omega(K)=\{(t,x(t)):t\in [t_0,t_1],\, x(\cdot) \text{ is a solution of the inclusion },\, x(t_0)\in K\}. \] Regularity theorems on the boundary of the integral funnel are established, under two distinct sets of assumptions on \(F\) and \(K\).
reviewed by: Paola Rubbioni
Mathematics Subject Classification ID: 34A60
zbMATH DE Number: 6668672
zbMATH Keywords: integral funnel
zbMATH Keywords: differential inclusion
author: N. Pogodaev
MaRDI profile type: Publication
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full work available at URL: s0012266116080048
OpenAlex ID: W2520305100
description: scientific article; zbMATH DE number 6668672