The method of upper–lower solutions for nonlinear second order differential inclusions

descriptionPublicationkeyboard_double_arrow_right Article 01 Aug 2007 Portugal English Publisher:Elsevier BVJournal:Nonlinear Analysis: Theory, Methods & Applications, volume 67, pages 708-726 (issn: 0362-546X,

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Authors: Papageorgiou, Nikolaos; Staicu, Vasile;

doi: 10.1016/j.na.2006.06.023

handle: 10773/5390

The method of upper–lower solutions for nonlinear second order differential inclusions

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Abstract

The paper concerns a system which consists of the scalar differential inclusion \[ (| x'|^{p-2}x')'\in\partial g(t,x)+F(t,x,x')+\theta(x) \] on an interval \([0,b]\) and of the boundary conditions \[ x'(0)\in\xi_1(x(0)), \qquad -x'(b)\in\xi_2(x(b)). \] Here: \(1

Country

Portugal

Related Organizations

National Technical University of Athens
Greece
University of Aveiro
Portugal
National Technical University
Ecuador

Keywords

Multifunctions, Fixed points, extremal solutions, Upper and lower solutions, second order differential inclusions, upper and lower solutions, Truncation and penalty functions, Extremal solutions, Ordinary differential inclusions

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