摘要
考虑一类发展包含在Banach空间中的反周期问题,集值函数G(t,x)取有界紧凸值的,关于变量t是可测的,关于变量x是闭图像,运用Kakutani-Fan不动点定理,对方程做了先验估计,给出了解存在的充分条件,并证明了解集是弱紧的.
The authors discussed the anti-periodic problems for a class of evolution inclusions in Banach space.When the mutilfuction G(t,x) takes a bounded,weakly compact,convex value,and is measurable about variable t,is a closed graph about variable x,using techniques from the Kakutani-Fan fixed point theory,we have got a priori estimate to this equation and a sufficient condition of the existence of solutions,and proved the solution set is weakly compact.
出处
《吉林大学学报(理学版)》
CAS
CSCD
北大核心
2013年第4期626-628,共3页
Journal of Jilin University:Science Edition
基金
国家自然科学基金(批准号:11171350)
关键词
发展包含
反周期
不动点
evolution inclusion
anti-periodic
fixed point