Solvability for some boundary value problems with discrete \(\phi\)-Laplacian operators

DOI10.1186/s13662-015-0473-zzbMath1422.39006OpenAlexW2136515346WikidataQ59435305 ScholiaQ59435305MaRDI QIDQ1795417

Tianlan Chen, Ru Yun Ma

Publication date: 16 October 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-015-0473-z

zbMATH Keywords

existenceSchauder's fixed point theoremDirichlet boundary value problemmixed boundary value problem\(\phi\)-Laplacian

Mathematics Subject Classification ID

Additive difference equations (39A10) Discrete version of topics in analysis (39A12)

Related Items (4)

Multiple positive solutions of second-order nonlinear difference equations with discrete singular \(\varphi\)-Laplacian ⋮ Discrete Neumann boundary value problem for a nonlinear equation with singular \(\phi\)-Laplacian ⋮ Positive solutions of Neumann problems for a discrete system coming from models of house burglary ⋮ Positive solution of discrete BVPs involving the mean curvature operator on the set of nonnegative integers

Cites Work

• Unnamed Item
• Periodic solutions of second order nonlinear difference equations with discrete \(\phi\)-Laplacian
• Three solutions to Dirichlet boundary value problems for \(p\)-Laplacian difference equations
• Solvability for some boundary value problems with \(\phi\)-Laplacian operators
• Theory of difference equations: Numerical methods and applications
• Existence and comparison results for difference \(\phi\)-Laplacian boundary value problems with lower and upper solutions in reverse order
• Existence and multiplicity results for some nonlinear problems with singular \(\phi\)-Laplacian
• Three positive solutions of boundary value problems for \(p\)-Laplacian difference equations
• NONDEGENERACY OF THE PERIODICALLY FORCED LIÉNARD DIFFERENTIAL EQUATION WITH ϕ-LAPLACIAN
• Boundary value problems for second-order nonlinear difference equations with discrete φ-Laplacian and singular φ
• Pairs of positive solutions for the one-dimensional p-Laplacian

This page was built for publication: Solvability for some boundary value problems with discrete \(\phi\)-Laplacian operators