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一类带正权超线性对称方程对称周期解的分布 被引量：4

The Distribution of the Symmetric Periodic Solutions of a Class of Superlinear Symmetric Equations with Positive Weight
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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. 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 tile phase plane, and under some super]inear Conditions with time-map, it is proved that there are
作者 王超
机构地区 盐城师范学院数学科学学院
出处 《四川师范大学学报（自然科学版）》 CAS CSCD 北大核心 2011年第6期844-849,共6页 Journal of Sichuan Normal University（Natural Science）
基金 国家自然科学基金(10871142) 江苏省高校自然科学基金(09KJD110005)资助项目
关键词 对称方程 权函数 对称周期解 时间映射 POINCARÉ映射 symmetric solutions weight functions symmetric periodic solution time-map Poincare map
分类号 O175.14 [理学—基础数学]
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参考文献15

  • 1Ding T, Zanolin F. Periodic solutions of Duffings' equation with superquadratic potential[ J]. J Diff Eqns,1992,97:328 - 378.
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  • 7Papini D, Zanolin F. Periodic points and chaotic - like dynamics of planal maps associated to nonlinear Hill' s equations with in- definite weJight [ J ]. Georgian Mathematical J,2002,9 : 339 - 366.
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二级参考文献15

  • 1Mawhin J., Wilcm M., Critical Point Theory and Hamiltonian Systems, New York: Springer-Verlag, 1989.
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四川师范大学学报（自然科学版）
2011年 第6期

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