Banach空间中一类具阻尼的二阶微分包含的可控性  

Controllability of Damped Second Order Differential Inclusions in Banach Spaces

作　　者：刘宏亮[1] 石峰[1] 朱琳[1] 王超[1] 于金凤[1] LIU Hong liang SHI Feng ZHU Lin WANG Chao YU Jin-feng(College of Math. Science, Harbin Normal University, Harbin 150025, China)

机构地区：[1]哈尔滨师范大学数学科学学院,黑龙江哈尔滨150025

出　　处：《数学的实践与认识》2016年第21期255-261,共7页Mathematics in Practice and Theory

基　　金：黑龙江省教育厅教育项目(12541242)

摘　　要：主要研究了Banach空间一类具有阻尼项的二阶微分包含的可控性,利用集值映射不动点定理,讨论了集值函数取凸值的情况,给出了微分包含可控性的充分条件.In this paper, we investigate controllability of damped second order differential inclusions in Banach spaces. Using the fixed point theorem of multivalued maps, study the case when the multivalued map has convex value, establish sufficient conditions for the controllability of differential inclusions.

关 键 词：微分包含 可控性 不动点 

分 类 号：O177.2[理学—数学]