Scholarlink

<p>This paper is devoted to the study of nonautonomous multivalued semiflows and their associated pullback attractors. For this kind of dynamical systems we are able to characterize the upper and lower bounds of the attractor as complete trajectories belonging to the attractor, so that all the internal dynamics is confined in this region, which can be described as an interval due to the orderly nature of the processes. Thus, we are able to generalize to this framework previous general results in literature for autonomous multivalued flows or nonautonomous differential equations. We apply our results to a partial differential inclusion with a nonautonomous term, also proving the upper semicontinuity dependence of pullback and global attractors when the time dependent term asymptotically converges to an autonomous multivalued term.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Strongly order preserving multivalued nonautonomous dynamical systems

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年10月3日

查看全文
  • José A. Langa,
  • Jacson Simsen,
  • Mariza Stefanello Simsen,
  • José Valero

摘要

This paper is devoted to the study of nonautonomous multivalued semiflows and their associated pullback attractors. For this kind of dynamical systems we are able to characterize the upper and lower bounds of the attractor as complete trajectories belonging to the attractor, so that all the internal dynamics is confined in this region, which can be described as an interval due to the orderly nature of the processes. Thus, we are able to generalize to this framework previous general results in literature for autonomous multivalued flows or nonautonomous differential equations. We apply our results to a partial differential inclusion with a nonautonomous term, also proving the upper semicontinuity dependence of pullback and global attractors when the time dependent term asymptotically converges to an autonomous multivalued term.