| 具有脉冲积分条件的常微分方程解的存在性和收敛性 |
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| 引用本文： | 胡兵,乔元华.具有脉冲积分条件的常微分方程解的存在性和收敛性[J].云南大学学报(自然科学版),2011(Z1). |
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| 作者姓名： | 胡兵 乔元华 |
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| 作者单位： | 北京工业大学应用数理学院; |
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| 基金项目： | 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) |
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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.
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| 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 |
Existence and convergence of solutions for the ordinary differential equation with impulsive integral condition |
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| HU Bing,QIAO Yuan-hua.Existence and convergence of solutions for the ordinary differential equation with impulsive integral condition[J].Journal of Yunnan University(Natural Sciences),2011(Z1). |
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| Authors: | HU Bing QIAO Yuan-hua |
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| Institution: | HU Bing,QIAO Yuan-hua(College of Applied Science,Beijing University of Technology,Beijing 100124,China) |
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| Abstract: | It discusses the anti-periodic boundary value problem of a nonlinear ordinary differential equation with a new impulsive integral condition.By using the monotone iterative technique and the method of quasilinearization,it obtained the monotonic and quadratic convergence of solution sequences for the equation.It introduces the impulsive integral condition in the ordinary differential equation for the first time,the results obtained has some innovative. |
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| Keywords: | impulsive integral condition ordinary differential equation monotone iterative technique quasilinearization method |
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