数学
李普希茨连续性
稳定性理论
半群
区间(图论)
非线性系统
数学分析
类型(生物学)
期限(时间)
应用数学
组合数学
生态学
物理
量子力学
生物
作者
Qiang Li,Lishan Liu,Xu Wu
标识
DOI:10.15388/namc.2023.28.32643
摘要
This paper discusses the S-asymptotically periodic problem of fractional evolution equation with delay. By introducing a new noncompact measure theory involving infinite interval, we study the existence of S-asymptotically periodic mild solutions under the situation that the relevant semigroup is noncompact and the nonlinear term satisfies more general growth conditions instead of Lipschitz-type conditions. Moreover, by establishing a new Gronwall-type integral inequality corresponding to fractional differential equation with delay, we consider the global asymptotic behavior of S-asymptotically periodic mild solutions, which will make up for the blank of this field.
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