Nonlinear boundary value problems for second order differential inclusions
type: Item
instance of: scholarly article
title: Nonlinear boundary value problems for second order differential inclusions
zbMATH Open document ID: 1172.34007
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2009-04-02T00:00:00Z
review text: Finite-dimensional second order semilinear differential inclusions with nonlinearities being non-necessarily convex valued and satisfying weak growth of Hartman-Wintner conditions subject to nonlinear two-point boundary conditions involving maximal monotone operators are studied. Techniques from convex analysis, the so-called decomposable analysis (i.e., set-valued maps with decomposable values in the sense of Fryszkowski), theory of monotone operators together with fixed point results are employed in order to establish the existence od solutions. The general boundary conditions generalize the usual Sturm-Dirichlet boundary value problems for second order ODE.
reviewed by: Wojciech Kryszewski
Mathematics Subject Classification ID: 34A60
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 47H05
Mathematics Subject Classification ID: 47D60
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 5539220
zbMATH Keywords: differential inclusion
zbMATH Keywords: upper semicontinuous and lower semicontinuous set-valued map
zbMATH Keywords: maximal monotobe map
zbMATH Keywords: Yosida approximation
author: Qing-Hua Zhang
author: Gang Li
MaRDI profile type: Publication
full work available at URL: j.na.2008.05.007
OpenAlex ID: W2013956396
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DOI: 10.1016/J.NA.2008.05.007
description: scientific article; zbMATH DE number 5539220