带有非局部条件二阶微分包含的可控性  

Controllability of Second-Order Differential Inclusions with Nonlocal Conditions

作　　者：于金凤[1] 陈安妮[1] 

机构地区：[1]哈尔滨师范大学数学系,哈尔滨150025

出　　处：《数学学报（中文版）》2010年第5期871-880,共10页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金资助项目(10471032);黑龙江省教育厅项目(11551138)

摘　　要：研究了一类带有非局部条件二阶微分包含的可控性,在多值函数F(t,x)取凸情形下讨论了上述问题,建立了可控性的充分条件.本文将所讨论的问题转化为集值积分算子的不动点问题,利用Kakutani不动点定理得到可控性.In this paper, controllability problems of second-order differential inclusion with nonlocal conditions have been researched. We consider this problem and establish sufficient conditions for convex field. The problem is converted into fixed pointed problem of set-valued integral operators, then the controllability theorem is obtained by using Kakutani fixed point theorem.

关 键 词：Mlid解 可控性 Kakutani不动点 

分 类 号：O175.12[理学—数学]