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一类非线性波方程时间周期解的存在性

Existence of Time-Periodic Solutions of Some Kind of Nonlinear Wave Equations
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摘要 考虑非线性波方程时间周期解的存在性.应用变分法,在非线性项满足超线性增长且非单调的条件下,证明了非线性波方程时间周期解新的存在性结果. This paper deals with the existence of time-periodic solutions for nonlinear wave equations.Some new existence result of time-periodic solutions for nonlinear wave equations was established via the variational method when the nonlinearity is superlinear and nonmonotone.
作者 赵昕
机构地区 吉林农业大学信息技术学院
出处 《吉林大学学报（理学版）》 CAS CSCD 北大核心 2013年第4期623-625,共3页 Journal of Jilin University:Science Edition
基金 吉林省自然科学基金(批准号:201215184)
关键词 波方程 时间周期解 变分法 wave equation time-periodic solution variational method
分类号 O177.9 [理学—基础数学] O176.3 [理学—基础数学]
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参考文献8

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二级参考文献30

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吉林大学学报（理学版）
2013年 第4期

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