Existence and uniqueness of solutions to the nonlinear boundary value problem for fourth-order differential equations with all derivatives

Abstract This article addresses the existence and uniqueness of solution for fully fourth-order differential equations modeling beams on elastic foundations with nonlinear boundary conditions. The proof will rely on Perov’s fixed point theorem in complete generalized metric spaces to overcome the pr...

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Bibliographic Details
Main Authors: Huiling Chen, Yujun Cui
Format: Article
Language:English
Published: SpringerOpen 2023-02-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:https://doi.org/10.1186/s13660-022-02907-9