一类加权对称方程对称周期解的稠密分布

Dense Distribution of Symmetric Periodic Solutions for a Class of Aymmetric Wquations with Weight

考虑一类带正权的次二次位势对称方程的对称周期解的分布问题,利用相平面分析法,证明了在一定条件下对称周期解是稠密分布的.

The problem of the symmetric periodic solutions＇ distribution for a class of symmetric subquardratic potential equations with positive weight is studied in this paper. Under some conditions, the fact that the distribution of symmetric periodic solutions is dense by phase plane analysis is proved.