| 一类动态Melan方程的解的存在唯一性 |
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| 引用本文： | 唐梦影,张健,王永达.一类动态Melan方程的解的存在唯一性[J].河北大学学报(自然科学版),2022,42(5):449. |
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| 作者姓名： | 唐梦影 张健 王永达 |
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| 基金项目： | 河北省自然科学基金资助项目(A2019201106);河北大学高层次人才引进项目(521000981097) |
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| 摘 要： | 为解决悬索桥的动态横梁模型——动态Melan方程的问题,采用Galerkin方法和压缩映射原理,对这类非线性非局部Melan方程进行了研究,得出了该方程的解的存在唯一性.
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| 关 键 词： | Melan方程 Galerkin方法 悬索桥 |
| 收稿时间： | 2022-03-01 |
Existence and uniqueness of solutions for a class of dynamic Melan equations |
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| TANG Mengying,ZHANG Jian,WANG Yongda.Existence and uniqueness of solutions for a class of dynamic Melan equations[J].Journal of Hebei University (Natural Science Edition),2022,42(5):449. |
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| Authors: | TANG Mengying ZHANG Jian WANG Yongda |
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| Institution: | Hebei Key Laboratory of Machine Learning and Computational Intelligence, College of Mathematics and Information Science, Hebei University, Baoding 071002, China |
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| Abstract: | To solve a dynamic Melan equation, which is viewed as a beam model for dynamic suspension bridges, Galerkin’s method and the contraction mapping principle are applied to the nonlinear non-local Melan equation. The existence and uniqueness results are obtained. |
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| Keywords: | Melan equation Galerkin’s method suspension bridge |
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