Periodic solutions to a class of quasi-variational evolution equations

被引：0
作者：
Kubo, Masahiro
Yamazaki, Noriaki [1 ,2 ]
机构：
[1] Wakayama Univ, Fac Syst Engn, Sakaedani 930, Wakayama 6408510, Japan
[2] Kanagawa Univ, Fac Informat, Appl Syst & Math, Rokkakubashi 3-27-1, Yokohama 2218686, Japan
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2024年 / 384卷
关键词：
INEQUALITIES;
D O I：
10.1016/j.jde.2023.11.027
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study a time-periodicity problem for a class of abstract nonlinear evolution equations associated with subdifferential operators depending on both time and the unknown. Assuming time-periodicity for the subdifferential operator, we prove the existence of a periodic solution using the abstract theory of time-dependent subdifferential evolution equations and its generalization. We provide application examples for quasilinear parabolic variational inequalities with time-periodic constraints of non-local time-delay or memory type depending on the unknown.(c) 2023 Elsevier Inc. All rights reserved.
引用
收藏
页码：165 / 192
页数：28
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