Christian Poetzsche & Stefan Siegmund
Abstract:
In this paper we derive a limit set trichotomy for abstract
order-preserving 2-parameter semiflows in normal cones of
strongly ordered Banach spaces. Additionally, to provide an
example, Muller's theorem is generalized to dynamic equations
on arbitrary time scales and applied to a model from population
dynamics.
Submitted April 15, 2004. Published April 27, 2004.
Math Subject Classifications: 37C65, 37B55, 92D25.
Key Words: Limit set trichotomy, 2-parameter semiflow, dynamic equation,
time scale.
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Christian Poetzsche University of Augsburg, Department of Mathematics 86135 Augsburg, Germany email: poetzsche@math.uni-augsburg.de http://www.math.uni-augsburg.de/~poetzsch |
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Stefan Siegmund J. W. Goethe University, Department of Mathematics 60325 Frankfurt, Germany email: siegmund@math.uni-frankfurt.de http://www.math.uni-frankfurt.de/~siegmund |
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