| 含间断项的二阶周期边值问题的拟上下解方法 |
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| 引用本文： | 陆海霞,孙经先.含间断项的二阶周期边值问题的拟上下解方法[J].徐州师范大学学报(自然科学版),2011,29(1). |
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| 作者姓名： | 陆海霞 孙经先 |
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| 作者单位： | 1. 宿迁学院教师教育系,江苏,宿迁,223800
2. 徐州师范大学数学科学学院,江苏,徐州,221116 |
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| 基金项目： | 国家自然科学基金资助项目(10971197); 宿迁学院科研基金资助项目(2008KY07) |
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| 摘 要： | 利用拟上下解方法和混合单调迭代法,研究了Banach空间中含间断项的二阶非线性微分方程周期边值问题解的存在唯一性,并给出逼近解迭代序列的误差估计.
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| 关 键 词： | 拟上下解 混合单调迭代方法 周期边值问题 |
The method of quasi-upper and lower solutions for second order periodic boundary value problems with discontinuous terms |
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| Lu Haixia,Sun Jingxian.The method of quasi-upper and lower solutions for second order periodic boundary value problems with discontinuous terms[J].Journal of Xuzhou Normal University(Natural Science Edition),2011,29(1). |
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| Authors: | Lu Haixia Sun Jingxian |
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| Institution: | Lu Haixia1,Sun Jingxian2(1.Department of Teachers Education,Suqian College,Suqian 223800,Jiangsu,China,2.School of Mathematical Science,Xuzhou Normal University,Xuzhou 221116,China) |
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| Abstract: | By using the method of quasi-upper and lower solutions and the mixed monotone iterative technique,the existence and uniqueness of solution of periodic boundary value problems for second-order nonlinear differential equations with discontinuous terms in Banach spaces are obtained.The error estimate of the iterative sequences of approximation solutions is given. |
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| Keywords: | quasi-upper and lower solution mixed monotone iterative technique periodic boundary value problem |
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