A study on approximate controllability of non-autonomous evolution system with nonlocal conditions using sequence method

被引：5
|
作者：
Gou, Haide [1 ]
Li, Yongxiang [1 ]
机构：
[1] Northwest Normal Univ, Dept Math, Lanzhou, Gansu, Peoples R China
来源：
OPTIMIZATION | 2022年 / 71卷 / 16期
基金：
中国国家自然科学基金;
关键词：
Approximate controllability; non-autonomous evolution equation; mild solutions; evolution family; DIFFERENTIAL-EQUATIONS; FRACTIONAL ORDER; EXISTENCE; DELAY;
D O I：
10.1080/02331934.2021.1969391
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
The purpose of this paper is concerned with the existence of mild solutions and approximate controllability for a class of non-autonomous evolution system with nonlocal conditions in Banach spaces. First, the existence of mild solution is obtained by means of contraction mapping principle. Then sufficient conditions have been presented to establish the approximate controllability by using the sequence method. The application of the theory is explained by an example.
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页码：4763 / 4783
页数：21
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