APPROXIMATE CONTROLLABILITY OF EULER-BERNOULLI VISCOELASTIC SYSTEMS

被引：0
|
作者：
Yang, Zhifeng [1 ,2 ]
Feng, Zhaosheng [3 ]
机构：
[1] Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Hunan, Peoples R China
[2] Hunan Prov Key Lab Intelligent Informat Proc & Ap, Hunan 421002, Peoples R China
[3] Univ Texas Rio Grande Valley, Dept Math, Edinburg, TX 78539 USA
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2019年
基金：
美国国家科学基金会;
关键词：
Euler-Bernoulli viscoelastic system; approximate controllability; duality principle; Hahn-Banach theorem; HEAT-EQUATIONS; MEMORY; DECAY;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we study an Euler-Bernoulli viscoelastic control system which is dissipative due to the presence of the viscoelastic term. The main feature which distinguishes this paper from other related works lies in the fact that we no longer impose traditional conditions such as complete monotonicity and decay property on the kernel function g. Without loss of generality, we study the system in the case of g 1. By means of the duality principle and the Hahn-Banach theorem, we show that the system with g = 1 is approximately controllable in the appropriate function space.
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页数：16
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