Extremal solutions of multivalued differential equations
type: Item
instance of: scholarly article
title: Extremal solutions of multivalued differential equations
zbMATH Open document ID: 0655.34014
DOI: 10.1007/BF03323215
author: Klaus Deimling
published in: Results in Mathematics
publication date: 1988-01-01T00:00:00Z
review text: Consider an initial value problem (1) \(u'\in F(t,u)\) a.e. on J, \(u(0)=x_ 0\) where \(J=[0,a]\subset R\), \(X=R\) n and F:J\(\times X\to 2\) \(X\setminus \phi\) is a multivalued map. Let \(K\subset R\) n be a cone and \(\leq\) the partial ordering defined by K, i.e. \(x\leq y\) iff y-x\(\in K\). The author considers the question of extending the solutions of (1) with respect to this partial ordering, emphasizing the existence of minimal and maximal solutions.
Mathematics Subject Classification ID: 34A60
zbMATH DE Number: 4069340
zbMATH Keywords: extremal solutions
zbMATH Keywords: minimal solutions
zbMATH Keywords: maximal solutions
MaRDI profile type: Publication
cites work: Q3324260
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description: scientific article; zbMATH DE number 4069340