Existence results for systems of nonlinear evolution inclusions

Abstract

Existence results for semilinear systems of abstract evolution inclusions are established by means of Nadler, Bohnenblust-Karlin and Leray-Schauder fixed point theorems and a new technique for the treatment of systems based on vector-valued metrics and convergent to zero matrices.

Authors

Radu Precup
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania

Adrian Viorel
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania

Keywords

Abstract parabolic evolution inclusion; parabolic system; initial value problem; fixed point theorem; vector-valued norm.

Paper coordinates

R. Precup, A. Viorel, Existence results for systems of nonlinear evolution inclusions, Fixed Point Theory 11 (2010) no. 2, 337-346.

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Journal

Fixed Point Theory

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