Banach空间中二阶周期边值问题的解  

Solutions of the Second Order Periodic Boundary Value Problem in a Banach Space

作　　者：伊继金[1] 

机构地区：[1]南开大学数学科学学院,天津300071

出　　处：《工程数学学报》2006年第6期1105-1108,共4页Chinese Journal of Engineering Mathematics

摘　　要：本文研究Banach空间中弱拓扑下二阶周期边值问题的解。在上解小于等于下解的假设条件下证明了二阶周期边值问题解的存在性。We studied the solutions of the periodic boundary value problem in a Banach space under the weak^＊ topology, and obtained the existence of solutions.

关 键 词：单调迭代 半序 上下解 正规锥 弱收敛 

分 类 号：O241.81[理学—计算数学]