Boundary-value problems for systems of first-order partial differential inclusions
type: Item
instance of: scholarly article
title: Boundary-value problems for systems of first-order partial differential inclusions
zbMATH Open document ID: 0955.35016
DOI: 10.1007/PL00001423
author: Jean-Pierre Aubin
published in: NoDEA. Nonlinear Differential Equations and Applications
publication date: 2000-05-07T00:00:00Z
review text: The boundary value problems for the systems related to the first-order partial differential inclusion system \[ \begin{cases} x'(t)= f(t,x(t), y(t), p(t))\\ y'(t)= g(t,x(t),y(t),p(t))\\ p(t)\in P(t,x(t), y(t))\end{cases} \] are considered. Existence, uniqueness and continuity of the Frankowska solution to the corresponding system are given in terms of the concept ``graphical envelope'' of a suitable set-valued mapping.
Mathematics Subject Classification ID: 35F30
Mathematics Subject Classification ID: 35F20
Mathematics Subject Classification ID: 47J35
Mathematics Subject Classification ID: 47H04
zbMATH DE Number: 1439283
zbMATH Keywords: existence, uniqueness and continuity
zbMATH Keywords: Frankowska solution
reviewed by: Wenming Bian
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1439283