Existence of extremal periodic solutions for nonlinear evolution inclusions

Nikolaos S. Papageorgiou; Nikolaos Yannakakis

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Displaying similar documents to “Existence of extremal periodic solutions for nonlinear evolution inclusions”

Boundary value problems for semilinear evolution inclusions: Carathéodory selections approach

Tiziana Cardinali, Lucia Santori (2011)

Commentationes Mathematicae Universitatis Carolinae

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In this paper we prove two existence theorems for abstract boundary value problems controlled by semilinear evolution inclusions in which the nonlinear part is a lower Scorza-Dragoni multifunction. Then, by using these results, we obtain the existence of periodic mild solutions.

Periodic problems and problems with discontinuities for nonlinear parabolic equations

Tiziana Cardinali, Nikolaos S. Papageorgiou (2000)

Czechoslovak Mathematical Journal

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In this paper we study nonlinear parabolic equations using the method of upper and lower solutions. Using truncation and penalization techniques and results from the theory of operators of monotone type, we prove the existence of a periodic solution between an upper and a lower solution. Then with some monotonicity conditions we prove the existence of extremal solutions in the order interval defined by an upper and a lower solution. Finally we consider problems with discontinuities and...