A Study on the Approximate Controllability of Damped Elastic Systems Using Sequence Method

被引：4

作者：

Gou, Haide ^{[1
]}

Li, Yongxiang ^{[1
]}

机构：

[1] Northwest Normal Univ, Dept Math, Lanzhou 730070, Peoples R China

来源：

QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2024年 / 23卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Approximate controllability; Damped elastic systems; Mild solutions; FRACTIONAL DIFFERENTIAL-EQUATIONS; EVOLUTION SYSTEMS; INTEGRODIFFERENTIAL INCLUSIONS; MILD SOLUTIONS; EXISTENCE; DRIVEN; ORDER; DELAY; ANALYTICITY; SEMIGROUPS;

D O I：

10.1007/s12346-023-00895-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the approximate controllability of damped elastic systems with initial conditions without the assumptions that the corresponding linear system is approximately controllable. Firstly, the existence of mild solution is obtained by means of contraction mapping principle and operator semigroup theory. Secondly, using the sequence method, a new set of sufficient conditions for approximate controllability of damped elastic systems are formulated and proved. The results in this paper are generalization and continuation of the recent results on this issue. Finally, as the application of abstract results, an example is given to illustrate our main results.

引用

页数：23

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