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Start Over Subject maximal monotone operator

1. Extremal solutions and strong relaxation for second order multivalued boundary value problems

Creator:
Gasiński, Leszek and Papageorgiou, Nikolaos S.
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
maximal monotone operator, pseudomonotone operator, Hartman condition, convex and nonconvex problems, extremal solutions, and strong relaxation
Language:
English
Description:
In this paper we study semilinear second order differential inclusions involving a multivalued maximal monotone operator. Using notions and techniques from the nonlinear operator theory and from multivalued analysis, we obtain “extremal” solutions and we prove a strong relaxation theorem.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

2. Nonlinear boundary value problems for second order differential inclusions

Creator:
Kyritsi , Sophia Th., Matzakos, Nikolaos, and Papageorgiou, Nikolaos S.
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
measurable multifunction, usc and lsc multifunction, and maximal monotone operator
Language:
English
Description:
In this paper we study two boundary value problems for second order strongly nonlinear differential inclusions involving a maximal monotone term. The first is a vector problem with Dirichlet boundary conditions and a nonlinear differential operator of the form $x\mapsto a(x,x^{\prime })^{\prime }$. In this problem the maximal monotone term is required to be defined everywhere in the state space $\mathbb{R}^N$. The second problem is a scalar problem with periodic boundary conditions and a differential operator of the form $x\mapsto (a(x)x^{\prime })^{\prime }$. In this case the maximal monotone term need not be defined everywhere, incorporating into our framework differential variational inequalities. Using techniques from multivalued analysis and from nonlinear analysis, we prove the existence of solutions for both problems under convexity and nonconvexity conditions on the multivalued right-hand side.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

3. Second order difference inclusions of monotone type

Creator:
Apreutesei, G. and Apreutesei, N.
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
anti-periodic solution, maximal monotone operator, and Yosida approximation
Language:
English
Description:
The existence of anti-periodic solutions is studied for a second order difference inclusion associated with a maximal monotone operator in Hilbert spaces. It is the discrete analogue of a well-studied class of differential equations.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public