Pullback and forward attractors of contractive difference equations

IF 0.2 Q4 MATHEMATICS, APPLIED

International Journal of Dynamical Systems and Differential Equations Pub Date : 2022-05-13 DOI:10.1504/ijdsde.2021.10040329

Huyhanh Huynh, Abdullah Kalkan

引用次数: 0

Abstract

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.

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收缩差分方程的前拉吸引子和后拉吸引子

耗散差分方程的吸引子的构造通常基于紧性假设。在本文中，我们用收缩性假设来代替它们，在收缩性假设下，前拉吸引子和后拉吸引子是相同的。因此，吸引子退化为唯一有界全解。作为应用，我们研究了理论生态学中常用的积分差分方程的吸引子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Dynamical Systems and Differential Equations MATHEMATICS, APPLIED-

CiteScore

0.80

自引率

0.00%

发文量

期刊介绍： IJDSDE is a quarterly international journal that publishes original research papers of high quality in all areas related to dynamical systems and differential equations and their applications in biology, economics, engineering, physics, and other related areas of science. Manuscripts concerned with the development and application innovative mathematical tools and methods from dynamical systems and differential equations, are encouraged.