Journal of Hebei University(Natural Science Edition) ›› 2022, Vol. 42 ›› Issue (5): 449-453.DOI: 10.3969/j.issn.1000-1565.2022.05.001

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Existence and uniqueness of solutions for a class of dynamic Melan equations

TANG Mengying, ZHANG Jian, WANG Yongda   

  1. Hebei Key Laboratory of Machine Learning and Computational Intelligence, College of Mathematics and Information Science, Hebei University, Baoding 071002, China
  • Received:2022-03-01 Online:2022-09-25 Published:2022-10-19

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.

Key words: Melan equation, Galerkin’s method, suspension bridge

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