带有非局部条件二阶微分包含的周期解  

On the Periodic Solutions of Second-order Differential Inclusions with Nonlocal Conditions

作　　者：陈安妮[1] 于金凤[1] 

机构地区：[1]哈尔滨师范大学

出　　处：《哈尔滨师范大学自然科学学报》2009年第5期1-5,共5页Natural Science Journal of Harbin Normal University

基　　金：国家自然科学基金资助项目(10471032)

摘　　要：一类带有非局部条件二阶微分包含的周期解,在多值函数F(t,x)取凸情形下讨论了上述问题,建立了周期解存在的充分条件.In this paper, the periodic problem 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 existence of periodic solution is obtained by using Kakutani fixed point theorem.

关 键 词：Mlid解 周期解 Kakutani不动点 上半连续 

分 类 号：O175.6[理学—数学] O175.15[理学—基础数学]