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2014-10-28 Nonlinear Seminar

Dr Mateusz Maciejewski
Existence of positive solutions of systems of parabolic equations with non-local initial conditions.

The topic of this speech is the existence of positive solutions of systems of parabolic equations with the boundary Dirichlet conditions and non-local initial conditions. For this purpose I shall show a fixed point theorem, which proof is based on Granas' fixed-point index. Thanks to the possibility of localisation of solutions I shall receive a theorem about existence of more than one solution.