自反Banach空间中非自治脉冲演化方程的解

IF 5.3 1区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Chaos Solitons & Fractals Pub Date : 2025-05-06 DOI:10.1016/j.chaos.2025.116471

Weifeng Ma

引用次数: 0

摘要

在演化系统非紧的情况下，利用演化系统的无穷小生成子的Hille-Yosida近似和有限维约简，讨论了反身Banach空间中无界区间上非自治脉冲演化方程温和解的存在性。

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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Solution of non-autonomous impulsive evolution equation in reflexive Banach spaces

In the case of the evolution system is non-compact, we deal with the existence of mild solutions for non-autonomous impulsive evolution equation on unbounded interval in a reflexive Banach space by applying the Hille–Yosida approximations of the infinitesimal generator of evolution system and finite dimensional reduction.

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来源期刊

Chaos Solitons & Fractals 物理-数学跨学科应用

CiteScore

13.20

自引率

10.30%

发文量

1087

审稿时长

9 months

期刊介绍： Chaos, Solitons & Fractals strives to establish itself as a premier journal in the interdisciplinary realm of Nonlinear Science, Non-equilibrium, and Complex Phenomena. It welcomes submissions covering a broad spectrum of topics within this field, including dynamics, non-equilibrium processes in physics, chemistry, and geophysics, complex matter and networks, mathematical models, computational biology, applications to quantum and mesoscopic phenomena, fluctuations and random processes, self-organization, and social phenomena.