论文标题
Integrodifference方程的数值动力学：前向动力学和回调吸引子
Numerical Dynamics of Integrodifference Equations: Forward Dynamics and Pullback Attractors
论文作者
论文摘要
为了确定非自主方程的动力学，需要理解其前进和回调行为。因此，我们为在度量空间中非自主差方程的一般环境中存在这种吸引的不变集提供了足够的标准。此外，还表明，前进和回调吸引子以及前进限制集持续存在，后两个概念甚至在扰动下融合。作为具体应用，我们研究了搭配类型的空间离散化中的集成差方程。
In order to determine the dynamics of nonautonomous equations both their forward and pullback behavior need to be understood. For this reason we provide sufficient criteria for the existence of such attracting invariant sets in a general setting of nonautonomous difference equations in metric spaces. In addition it is shown that both forward and pullback attractors, as well as forward limit sets persist and that the latter two notions even converge under perturbation. As concrete application, we study integrodifference equation under spatial discretization of collocation type.
