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具有脉冲积分条件的常微分方程解的存在性和收敛性 被引量:1

Existence and convergence of solutions for the ordinary differential equation with impulsive integral condition
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摘要 讨论具有新的脉冲积分条件的非线性常微分方程反周期边值问题.利用单调迭代技术和拟线性方法得到了方程的解序列的单调一致收敛性和二阶收敛性.首次将脉冲积分条件引进常微分方程中,所得到的结果具有一定的创新意义. 讨论具有新的脉冲积分条件的非线性常微分方程反周期边值问题.利用单调迭代技术和拟线性方法得到了方程的解序列的单调一致收敛性和二阶收敛性.首次将脉冲积分条件引进常微分方程中,所得到的结果具有一定的创新意义.
作者 胡兵 乔元华
出处 《云南大学学报(自然科学版)》 CAS CSCD 北大核心 2011年第S1期263-269,共7页 Journal of Yunnan University(Natural Sciences Edition)
基金 国家自然科学基金资助项目(61070149) 北京市自然科学基金资助项目(4072023)
关键词 脉冲积分条件 常微分方程 单调迭代技术 拟线性方法 impulsive integral condition ordinary differential equation monotone iterative technique quasilinearization method
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参考文献10

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