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变分方法求解脉冲微分方程
引用本文:杨洁,易竹贤. 变分方法求解脉冲微分方程[J]. 应用数学, 2011, 24(2)
作者姓名:杨洁  易竹贤
作者单位:怀化学院数学所,怀化学院数学系,湖南怀化418008
基金项目:Supported by the Scientific Research Fund of Hunan Provincial Education Department (08C669); the Hunan Provincial Nature Science Fund (06JJ50013)
摘    要:
本文研究一类具有周期边值条件的脉冲微分方程解的存在性问题.通过运用临界点理论以及变分方法证明此系统存在周期解.

关 键 词:脉冲微分方程  (C)*条件  临界点理论  周期解

Variational Methods to Impulsive Differential Equations
YANG Jie , YI Zhuxian. Variational Methods to Impulsive Differential Equations[J]. Mathematica Applicata, 2011, 24(2)
Authors:YANG Jie    YI Zhuxian
Affiliation:YANG Jie,YI Zhuxian (Institute of Mathematics,Department of Mathematics,Huaihua University,Huaihua 418008,China)
Abstract:
In this paper,we study the existence results for some impulsive differential equations with periodic boundary conditions.By applying a new approach via critical point theory and variational methods,the existence results of solutions are obtained.
Keywords:Impulsive differential equations  Condition (C)*  Critical point theory  Periodic solution  
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