Positive solutions of the periodic problems for quasilinear difference equation with sign-changing weight

Abstract We show the existence of positive solutions of the periodic problem of the quasilinear difference equation {−∇[ϕ(Δuk)]+qkuk=λgkf(uk),k∈T,u0=uT,u1=uT+1, $$\textstyle\begin{cases} -\nabla[\phi(\Delta u_{k})]+q_{k}u_{k}=\lambda g_{k}f(u_{k}),\quad k\in\mathbb {T},\\ u_{0}=u_{T}, \qquad u_{1}=u...

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Bibliographic Details
Main Authors: Man Xu, Ruyun Ma, Zhiqian He
Format: Article
Language:English
Published: SpringerOpen 2018-10-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-018-1856-8

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