The continuum branch of positive solutions for discrete simply supported beam equation with local linear growth condition

Abstract In this paper, we obtain the global structure of positive solutions for nonlinear discrete simply supported beam equation Δ4u(t−2)=λf(t,u(t)),t∈T,u(1)=u(T+1)=Δ2u(0)=Δ2u(T)=0, $$\begin{aligned}& \Delta ^{4}u(t-2)= \lambda f\bigl(t,u(t)\bigr),\quad t\in \mathbb{T}, \\& u(1)=u(T+1)=\De...

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Bibliographic Details
Main Authors: Yanqiong Lu, Ruyun Ma
Format: Article
Language:English
Published: SpringerOpen 2018-12-01
Series:Boundary Value Problems
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13661-018-1113-9