论文标题
非自主集成差方程的前进和回调动态：基本构造
Forward and Pullback Dynamics of Nonautonomous Integrodifference Equations: Basic Constructions
论文作者
论文摘要
在理论生态学中，描述空间分散和具有非重叠世代的物种的时间演变的模型通常基于集成差方程。对于各种此类应用，环境对导致非自主综合差方程的模型产生了十分影响。为了全面地捕获其长期行为，在离散时间内为一般无限的非自治动力学系统构建了撤回和前向吸引子以及前向极限集。同时，虽然撤回吸引子的理论（而不是它们在集成差方程）的应用是良好的，但为了理解其未来行为，目前需要这种新颖的方法。
In theoretical ecology, models describing the spatial dispersal and the temporal evolution of species having non-overlapping generations are often based on integrodifference equations. For various such applications the environment has an aperiodic influence on the models leading to nonautonomous integrodifference equations. In order to capture their long-term behaviour comprehensively, both pullback and forward attractors, as well as forward limit sets are constructed for general infinite-dimensional nonautonomous dynamical systems in discrete time. While the theory of pullback attractors, but not their application to integrodifference equations, is meanwhile well-established, the present novel approach is needed in order to understand their future behaviour.
