一个非线性微分方程的周期边值问题

On a Periodic Boundary Value Problem of a Nonlinear Differential Equation

中文关键词:  边值问题  周期运动  绕椭圆轨道.

英文关键词:boundary value problem  periodic motion  elliptic orbit  satellite.

中文摘要:

      本文考虑作为卫星绕椭圆轨道作周期运动模型的一个二阶非线性微分方程的周期边值问题.用迭代方法证明了奇函数周期解的存在性,并且扩大了文[3]中给出的参数范围.

英文摘要:

      We consider a nonlinear differential equation of second order which has been proposed as a model for the periodic motion of a satellite in its elliptic orbit. We use some elementary methods to demonstrate the existence of an odd periodic solution for a considerably larger parameter set than considered earlier.