Non-spurious solutions to discrete boundary value problems through variational methods

DOI10.1080/10236198.2015.1067694zbMath1338.39013arXiv1503.01807OpenAlexW2963585956MaRDI QIDQ2796789

Ewa Schmeidel, Marek Galewski

Publication date: 29 March 2016

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.01807

zbMATH Keywords

Dirichlet problemconvexitydiscrete equationdirect variational methodnon-spurious solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Additive difference equations (39A10) Discrete version of topics in analysis (39A12)

Related Items (2)

Global diffeomorphism theorem applied to the solvability of discrete and continuous boundary value problems ⋮ Existence of a priori bounded solutions for discrete two-point boundary value problems

Cites Work

• On multipoint boundary value problems for discrete equations
• On boundary value problems for a discrete generalized Emden--Fowler equation
• Existence of non-spurious solutions to discrete Dirichlet problems with lower and upper solutions
• The uniqueness of solutions to discrete, vector, two-point boundary value problems
• The nonexistence of spurious solutions to discrete, two-point boundary value problems
• Multiple positive solutions of singular discrete \(p\)-Laplacian problems via variational methods
• Methods of Nonlinear Analysis
• Eigenvalue problems for anisotropic discrete boundary value problems
• Difference Equations Associated with Boundary Value Problems for Second Order Nonlinear Ordinary Differential Equations
• Unnamed Item

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