Geodesic
A limit set trichotomy for order-preserving systems on time scales
Electronic journal of differential equations, Tome 2004 (2004)
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.
Classification : 37C65, 37B55, 92D25
Keywords: limit set trichotomy, 2-parameter semiflow, dynamic equation, time scale 
@article{EJDE_2004__2004__a104,
     author = {Poetzsche,  Christian and Siegmund,  Stefan},
     title = {A limit set trichotomy for order-preserving systems on time scales},
     journal = {Electronic journal of differential equations},
     year = {2004},
     volume = {2004},
     zbl = {1059.37016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a104/}
}
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%A Siegmund,  Stefan
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%J Electronic journal of differential equations
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Poetzsche,  Christian; Siegmund,  Stefan. A limit set trichotomy for order-preserving systems on time scales. Electronic journal of differential equations, Tome 2004 (2004). http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a104/