论文标题
收缩差方程的回调和前方吸引子
Pullback and forward attractors of contractive difference equations
论文作者
论文摘要
耗散差方程的吸引子的构建通常基于紧凑的假设。在本文中,我们将其替换为合同性假设,根据这些假设,回调和前进吸引子相同。结果,吸引者退化为独特的整个解决方案。作为应用程序,我们研究了综合差方程的吸引者,这些方程是理论生态学中流行模型的吸引者。
The construction of attractors of a dissipative difference equation is usually based on compactness assumptions. In this paper, we replace them with contractivity assumptions under which the pullback and forward attractors are identical. As a consequence, attractors degenerate to unique bounded entire solutions. As an application, we investigate attractors of integrodifference equations which are popular models in theoretical ecology.