一类双质子耦合格点系统的对称周期解

Even and Periodic Solutions of a Class of Lattices Composed of Two Particles

研究一类模拟2个质子相互作用的二阶带非负权耦合方程的对称周期解的问题.在一类关于时间映射的超线性条件和次线性条件下,利用相平面分析方法对方程进行研究,分别得到超线性方程无穷多个对称调和解的存在性以及次线性方程无穷多个对称次调和解的存在性.

In this paper,we are concerned with the existence of the even and periodic solutions for a class of coupled equations that model the motion of two particles on the real line. Under some super-linear and sublinear conditions on Time-mapping and by a fine phase-plane analysis,we prove the existence of infinite symmetric and harmonic solutions for super-linear equations as well as infinite symmetric and subharmonic solutions for the sublinear equations.