Electronic Journal of Differential Equations,
Vol. 2004(2004), No. 64, pp. 1-18.

Title: A limit set trichotomy for order-preserving systems on time scales

Author: Christian Poetzsche (Univ. of Augsburg, Germany)
        Stefan Siegmund (J. W. Goethe Univ., Frankfurt, Germany)

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.