| 一类带正权超线性对称方程对称周期解的分布 |
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| 引用本文： | 王超.一类带正权超线性对称方程对称周期解的分布[J].四川师范大学学报(自然科学版),2011,34(6):844-849. |
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| 作者姓名： | 王超 |
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| 作者单位： | 盐城师范学院数学科学学院,江苏盐城224 001 |
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| 基金项目： | 国家自然科学基金，江苏省高校自然科学基金 |
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| 摘 要： | 讨论一类带正权函数超线性对称方程对称周期解的分布情况.运用相平面定性分析的方法,得到了在关于时间映射的超线性条件下,方程无穷多个对称调和解的存在性以及对称次调和解的稠密性分布结果.
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| 关 键 词： | 对称方程 权函数 对称周期解 时间映射 Poincaré映射 |
The Distribution of the Symmetric Periodic Solutions of a Class of Superlinear Symmetric Equations with Positive Weight |
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| WANG Chao.The Distribution of the Symmetric Periodic Solutions of a Class of Superlinear Symmetric Equations with Positive Weight[J].Journal of Sichuan Normal University(Natural Science),2011,34(6):844-849. |
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| Authors: | WANG Chao |
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| Institution: | WANG Chao(College of Mathematics,Yancheng Teacher’s University,Yancheng 224001,Jiangsu) |
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| Abstract: | In this pater,we discuss the distribution of the symmetric periodic solutions of a class of superlinear equations with positive weight while the disturbed terms are symmetric functions.By the methods of phase-plane analysis in the phase plane,and under some superlinear conditions with time-map,it is proved that there are infinite numbers of symmetric harmonic solutions to the equations as well as that the symmetric subharmonic solutions are densely distributed to the equations. |
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| Keywords: | symmetric solutions weight functions symmetric periodic solution time-map Poincaré map |
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