Existence results for systems of nonlinear evolution equations


Existence results for semilinear systems of abstract evolution equations are established by means of Perov, Schauder 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.


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

Adrian Viorel
Department of Applied Mathematics Faculty of Mathematics and Computer Sciences Babes–Bolyai University Cluj-Napoca, 400084, ROMANIA


abstract parabolic evolution equation; parabolic system; initial value problem; Fixed Point Theorem; vector-valued norm

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R. Precup, A. Viorel, Existence results for systems of nonlinear evolution equations, Int. J. Pure Appl. Math., 47 (2008) no. 2, 199-206.


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International Journal of Pure and Applied Mathematics

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