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一类加权对称方程对称周期解的稠密分布
引用本文:何涛,丁卫.一类加权对称方程对称周期解的稠密分布[J].河北大学学报(自然科学版),2011,31(3):230-235.
作者姓名:何涛  丁卫
作者单位:1. 南通航运职业技术学院基础教学部,江苏南通,226010
2. 南通大学理学院,江苏南通,226007
摘    要: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.

关 键 词:次二次位势  Hamilton函数  对称周期解  稠密分布

Dense Distribution of Symmetric Periodic Solutions for a Class of Aymmetric Wquations with Weight
HE Tao,DING Wei.Dense Distribution of Symmetric Periodic Solutions for a Class of Aymmetric Wquations with Weight[J].Journal of Hebei University (Natural Science Edition),2011,31(3):230-235.
Authors:HE Tao  DING Wei
Institution:1.Department of Basic Education,Nantong Shipping College,Nantong 226010,China;2.College of Science,Nantong University,Nantong 226007,China)
Abstract: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.
Keywords:subquardratic potential  Hamilton function  symmetric periodic solution  dense distribution
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