Multiple positive solutions of second-order nonlinear difference equations with discrete singular ϕ-Laplacian

Abstract We consider the existence and multiplicity of positive solutions of the Dirichlet problem for the quasilinear difference equation { − ∇ [ ϕ ( △ u ( t ) ) ] = λ a ( t , u ( t ) ) + μ b ( t , u ( t ) ) , t ∈ T , u ( 1 ) = u ( N ) = 0 , $$ \textstyle\begin{cases} -\nabla [\phi (\triangle u(t))...

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Bibliographic Details
Main Authors: Xiaoxiao Su, Ruyun Ma
Format: Article
Language:English
Published: SpringerOpen 2020-12-01
Series:Advances in Difference Equations
Subjects:
Online Access:https://doi.org/10.1186/s13662-020-03135-5