| Banach空间中非线性积分微分方程周期边值问题的一种拟上下解法 |
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| 引用本文： | 李相锋.Banach空间中非线性积分微分方程周期边值问题的一种拟上下解法[J].西北师范大学学报,2007,43(4):6-9,16. |
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| 作者姓名： | 李相锋 |
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| 作者单位： | 陇东学院数学系,甘肃庆阳745000 |
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| 基金项目： | 甘肃省高校研究生导师科研项目;陇东学院校科研和教改项目 |
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| 摘 要： | 利用L-拟上下解方法和混合单调迭代法，通过建立一个新的积分微分不等式，研究了Banach空间中积分微分方程周期边值问题解的存在唯一性，并给出了解的迭代序列和误差估计式．
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| 关 键 词： | 积分微分方程 L-拟上下解 混合单调迭代法 周期边值问题 |
| 文章编号： | 1001-988X（2007）04-0006-04 |
| 修稿时间： | 2007-02-062007-05-28 |
A method of L-quasi-upper and lower solutions for periodic boundary value problems of nonlinear integro-differential equation in Banach spaces |
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| LI Xiang-feng.A method of L-quasi-upper and lower solutions for periodic boundary value problems of nonlinear integro-differential equation in Banach spaces[J].Journal of Northwest Normal University Natural Science (Bimonthly),2007,43(4):6-9,16. |
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| Authors: | LI Xiang-feng |
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| Institution: | Department of Mathematics, Longdong University, Qingyang 745000, Gansu, China |
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| Abstract: | The existence and uniqueness of solutions for periodic boundary value problems of nonlinear integro-differential equations in Banach spaces are investigated, by establishing a differential-integral inequality and using the method of L-quasi-upper and lower solutions and the mixed monotone iterative technique. Moreover, the error estimate of iterative sequence of proximation solutions is given. |
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| Keywords: | integro- differential equation L-quasi-upper and lower solution mixed monotone iterative technique periodic boundary value problem |
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