Poetzsche, ChristianSiegmund, Stefan2021-04-232021-04-232004-04-27Poetzsche, C., & Siegmund, S. (2004). A limit set trichotomy for order-preserving systems on time scales. <i>Electronic Journal of Differential Equations, 2004</i>(64), pp. 1-18.1072-6691https://hdl.handle.net/10877/13417In 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.Text18 pages1 file (.pdf)enAttribution 4.0 InternationalLimit set trichotomy2-parameter semiflowDynamic equationsTime scaleA limit set trichotomy for order-preserving systems on time scalesArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.