Accretive equations in cones of Banach space
type: Item
instance of: scholarly article
title: Accretive equations in cones of Banach space
zbMATH Open document ID: 0961.47034
DOI: 10.1016/S0898-1221(00)00046-8
author: Jong Yeoul Park
author: Shihsen Chang
author: Yuqing Chen
publication date: 2001-05-21T00:00:00Z
review text: The authors prove an existence result concerning the Cauchy problem: \(x'(t)=-Ax(t)\), \(x(0)=\xi\in D(A)\), where \(A\) is an accretive operator acting from a cone \(P\) in a Banach space into itself and satisfying \((I+\lambda A)(P)=P\). Some sufficient conditions in order that \(A(D(A))=P\) and \((I+\lambda A)(D(A))=P\) are also proved.
Mathematics Subject Classification ID: 47H06
zbMATH DE Number: 1471580
zbMATH Keywords: pointed cone
zbMATH Keywords: accretive mapping
zbMATH Keywords: \(m\)-accretive mapping on a cone
zbMATH Keywords: Cauchy problem
reviewed by: Ioan I. Vrabie
MaRDI profile type: Publication
cites work: Nonlinear mappings of nonexpansive and accretive type in Banach spaces
cites work: Nonlinear semigroups and evolution equations
cites work: Q5185568
cites work: Q4094029
cites work: Analysis and control of nonlinear infinite dimensional systems
cites work: Nonlinear equations of evolution and nonlinear accretive operators in Banach spaces
cites work: Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces
cites work: Accretive sets and differental equations in Banach spaces
cites work: Convergence of difference approximation of nonlinear evolution equations and generation of semigroups
cites work: Difference approximation of Cauchy problems for quasi-dissipative operators and generation of nonlinear semigroups
cites work: Q3904867
cites work: Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
full work available at URL: s0898-1221(00)00046-8
OpenAlex ID: W1998361302
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 1471580