| 非线性延迟微分方程边值方法的收敛性和收缩性 |
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| 引用本文： | 张如,韩旭,刘小刚.非线性延迟微分方程边值方法的收敛性和收缩性[J].山东大学学报(理学版),2019,54(8):97-101. |
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| 作者姓名： | 张如 韩旭 刘小刚 |
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| 作者单位： | 1.西北工业大学明德学院信息工程学院, 陕西 西安 710124;2.哈尔滨工业大学数学系, 黑龙江 哈尔滨 150001;3.西北大学现代学院数学系, 陕西 西安 710130 |
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| 基金项目： | 陕西省教育厅专项科学研究计划项目(18JK1166) |
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| 摘 要： | 考虑非线性延迟微分方程的边值方法,在Lipschitz条件下,分析了边值方法的收敛性、全局收缩性和弱全局收缩性。最后,通过数值算例验证了主要结论。
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| 关 键 词： | 边值方法 非线性延迟微分方程 收敛性 收缩性 |
Convergence and contractivity of boundary value methods for nonlinear delay differential equations |
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| ZHANG Ru,HAN Xu,LIU Xiao-gang.Convergence and contractivity of boundary value methods for nonlinear delay differential equations[J].Journal of Shandong University,2019,54(8):97-101. |
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| Authors: | ZHANG Ru HAN Xu LIU Xiao-gang |
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| Institution: | 1. School of Information Engineering, Northwestern Polytechnical University Mingde College, Xian 710124, Shaanxi, China;2. Department of Mathematics, Harbin Institute of Technology, Harbin 150001, Heilongjiang, China;3. Department of Mathematics, Modern College of Northwest University, Xian 710130, Shaanxi, China |
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| Abstract: | The boundary value methods are applied to the nonlinear delay differential equations. Under the assumptions of Lipschitz conditions, the convergence and the global contractivity, the weakly global contractivity of the boundary value methods are analyzed. Finally, some numerical experiments are carried out to illustrate the theoretical results. |
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| Keywords: | boundary value method nonlinear delay differential equation convergence contractivity |
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