Periodic solutions for nonlinear differential equations with maximal monotone terms
type: Item
instance of: scholarly article
title: Periodic solutions for nonlinear differential equations with maximal monotone terms
zbMATH Open document ID: 1026.34071
DOI: 10.1016/S0362-546X(02)00168-2
author: Shouchuan Hu
author: Nikolaos S. Papageorgiou
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2003-03-11T00:00:00Z
review text: The authors study nonlinear periodic problems for scalar and vector differential inclusions involving a maximal monotone operator which is not necessarily defined everywhere. In the scalar case, they study the problem \[ (a(x(t))x'(t))'\in A(x(t))+f(t,x(t),x'(t)) \quad \text{a.e on } T=[0,b], \] \[ x(0)=x(b),\quad x'(0)=x'(b), \] and, in the vector case, the problem \[ (a(x'(t)))'\in A(x(t))+f(t,x(t),x'(t)) \quad \text{a.e on} T=[0,b], \] \[ x(0)=x(b),\quad x'(0)=x'(b). \] Their approach is based on the theory of nonlinear operators of monotone type and on the Leray-Schauder alternative principle.
reviewed by: Sotiris K. Ntouyas
Mathematics Subject Classification ID: 34G25
Mathematics Subject Classification ID: 34A60
Mathematics Subject Classification ID: 34C25
zbMATH DE Number: 1880010
zbMATH Keywords: periodic solutions
zbMATH Keywords: \(p\)-Laplacian
zbMATH Keywords: maximal monotone operator
zbMATH Keywords: pseudomonotone
MaRDI profile type: Publication
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full work available at URL: s0362-546x(02)00168-2
OpenAlex ID: W2055603876
description: scientific article; zbMATH DE number 1880010