受迫摆方程的远程概周期解  

Remotely Almost Periodic Solutions of the Forced Pendulum Equation

作　　者：滕飞[1] 

机构地区：[1]青岛大学数学科学学院,山东青岛266071

出　　处：《青岛大学学报（自然科学版）》2009年第1期18-21,共4页Journal of Qingdao University(Natural Science Edition)

摘　　要：利用远程概周期函数的性质和Banach压缩映像原理研究了受迫摆方程的远程概周期解问题,证明了远程概周期解的存在性及在条件‖y-π‖L∞<π/2下的唯一性结论。The remotely almost periodic solution of the forced pendulum equation is studied by using the definition of remotely almost periodic functions and Banach contraction mapping principle.And then the existence and uniqueness of the remotely almost periodic solution under the condition ‖y-π‖L∞〈π/2 is obtained.

关 键 词：受迫摆方程 DUFFING方程 远程概周期解 格林函数 Banach压缩映像原理 

分 类 号：O175[理学—数学]