西北师范大学学报（自然科学版）2024，Vol.60Issue(2)：14-20,7.DOI:10.16783/j.cnki.nwnuz.2024.02.003
具有时间依赖的时滞半线性二阶发展方程的能控性和适定性
Controllability and well posedness for second order evolution differential equations
摘要
Abstract
This paper considers the controllability and well posedness of second order evolution differential equations with state dependent delay.Firstly,the controllability is proved for second order evolution differential equations with state dependent delay by using the fixed point theorem;Secondly,it is proved that the developed differential equation are well posed under appropriate conditions.In the end,an example is provided to represent the theory.关键词
时滞/抽象微分方程/二阶发展方程/能控性/适定性Key words
time delay/abstract differential equation/second order evolution equation/constrollability/well posedness分类
数理科学引用本文复制引用
施翠云,宾茂君..具有时间依赖的时滞半线性二阶发展方程的能控性和适定性[J].西北师范大学学报（自然科学版）,2024,60(2):14-20,7.基金项目
广西壮族自治区自然科学基金资助项目(2021GXNSFAA220130,2022GXNSFAA035617) （2021GXNSFAA220130,2022GXNSFAA035617）
广西高校中青年教师科研基础能力提升项目(2024KY0594,2023KY0599,2022KY0582) （2024KY0594,2023KY0599,2022KY0582）
