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1. Dimension of measures invariant with respect to the Waz˙ewska partial differential equation

Author

Lasota, Andrzej and Szarek, Tomasz

Subjects
*ASYMPTOTIC theory in linear differential equations, *PARTIAL differential equations, *BLOOD cells, *SEMIGROUPS (Algebra)
Abstract

We study asymptotic properties of a nonlinear first-order partial differential equation which describes the reproduction of blood cells. This equation under conditions proposed by Waz˙ewska generates a semigroup of transformations with highly chaotic behaviour of trajectories. We show that this semigroup has invariant measures with arbitrary large dimension. [Copyright &y& Elsevier]

Published
2004
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