Existence and feedback control for a class of nonlinear evolutionary equations

被引：0
|
作者：
Yin, Bin [1 ]
Zeng, Biao [2 ]
机构：
[1] Sichuan Jiuzhou Technician Coll, Mianyang, Peoples R China
[2] Guangxi Minzu Univ, Ctr Appl Math Guangxi, Sch Math & Phys, Nanning, Peoples R China
来源：
APPLICABLE ANALYSIS | 2023年
基金：
中国国家自然科学基金;
关键词：
Nonlinear evolutionary equation; existence; feedback control; pseudomonotone operator; evolutionary hemivariational inequality;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the paper we provide systematic approaches to study existence and feed-back control for a new evolutionary equation involving pseudomonotone operators. We first establish several existence results for the evolutionary equation by exploiting the Rothe method and using a surjectivity result for multivalued pseudomonotone operators. Then we show the existence of feasible pairs for the feedback control problem by assuming some suffi-cient conditions. Moreover, the existence of solutions to an evolutionary hemivariational inequality is presented.
引用
收藏
页数：23
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