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

页数：23

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