A limit set trichotomy for order-preserving systems on time scales
Electronic Journal of Differential Equations, Tome 2004 (2004).

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Summary: 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
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     author = {Poetzsche, Christian and Siegmund, Stefan},
     title = {A limit set trichotomy for order-preserving systems on time scales},
     journal = {Electronic Journal of Differential Equations},
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     volume = {2004},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a104/}
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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/