脉冲广义半流的长时间特性

IF 3.7 2区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Nonlinear Analysis-Hybrid Systems Pub Date : 2023-10-05 DOI:10.1016/j.nahs.2023.101432

Everaldo de Mello Bonotto , Piotr Kalita

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引用次数: 0

摘要

我们提出了比文献中已知的更通用的新标准，以保证具有状态相关脉冲的问题的全局吸引子的存在。对于下面半流上的解可能是非唯一的情况，我们关于全局吸引子存在性的结果得到了证明，对于解唯一的情况这一结果甚至是新的。此外，我们提供了所提出标准的集合版本，在该版本下，正如我们所证明的，全局吸引子在问题扰动时表现出上半连续性。通过几个常微分方程和偏微分方程的例子说明了这一理论。

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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Long-time behavior for impulsive generalized semiflows

We propose new criteria, which are more general than those previously known in the literature, to guarantee the existence of global attractors for problems with state-dependent impulses. Our result on the existence of global attractors is proved for the case where the solutions on the underlying semiflow can possibly be nonunique, and it is even new for the case of solution uniqueness. Additionally, we provide collective versions of the proposed criteria, under which, as we prove, the global attractors exhibit upper-semicontinuity upon perturbation of the problem. The theory is illustrated through several examples of ODEs and PDEs.

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来源期刊

Nonlinear Analysis-Hybrid Systems AUTOMATION & CONTROL SYSTEMS-MATHEMATICS, APPLIED

CiteScore

8.30

自引率

9.50%

发文量

审稿时长

>12 weeks

期刊介绍： Nonlinear Analysis: Hybrid Systems welcomes all important research and expository papers in any discipline. Papers that are principally concerned with the theory of hybrid systems should contain significant results indicating relevant applications. Papers that emphasize applications should consist of important real world models and illuminating techniques. Papers that interrelate various aspects of hybrid systems will be most welcome.