Positive Solutions for Two-Point Boundary Value Problems for Fourth-Order Differential Equations with Fully Nonlinear Terms

In this paper, we consider the existence of positive solutions for the fully fourth-order boundary value problem u4t=ft,ut,u′t,u″t,u‴t, 0≤t≤1,u0=u1=u″0=u″1=0, where f:0,1×0,+∞×−∞,+∞×−∞,0×−∞,+∞⟶0,+∞ is continuous. This equation can simulate the deformation of an elastic beam simply supported at both...

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Bibliographic Details
Main Authors: Yixin Zhang, Yujun Cui
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2020/8813287