Abstract
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.
Authors
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
Keywords
abstract parabolic evolution equation; parabolic system; initial value problem; Fixed Point Theorem; vector-valued norm
Paper coordinates
R. Precup, A. Viorel, Existence results for systems of nonlinear evolution equations, Int. J. Pure Appl. Math., 47 (2008) no. 2, 199-206.
About this paper
Journal
International Journal of Pure and Applied Mathematics
Publisher Name
Print ISSN
Online ISSN
1314-3395
google scholar link
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