Existence of multiple solutions to a discrete fourth order periodic boundary value problem via variational method

DOI10.1007/s12591-018-0432-8zbMath1500.39005OpenAlexW2891499482WikidataQ129248372 ScholiaQ129248372MaRDI QIDQ2084675

Lingju Kong, Sougata Dhar

Publication date: 18 October 2022

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12591-018-0432-8

zbMATH Keywords

variational methodscritical point theoryfourth orderthree solutionsdiscrete beam equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Discrete version of topics in analysis (39A12) Parameter dependent boundary value problems for ordinary differential equations (34B08) Boundary value problems for difference equations (39A27)

Related Items (2)

Existence of solutions to nonlinear fourth-order beam equation ⋮ Existence of multiple anti-periodic solutions for a higher order nonlinear difference equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The multiplicity of solutions for fourth-order equations generated from a boundary condition
• Existence of positive solution for nonlinear fourth-order difference equations
• A discrete fourth-order Lidstone problem with parameters
• Multiple solutions of some nonlinear fourth-order beam equations
• Existence of solutions for some fourth-order boundary value problems with parameters
• On an elliptic Kirchhoff-type problem depending on two parameters
• Multiplicity results for nonlinear periodic fourth order difference equations with parameter dependence and singularities
• A further three critical points theorem
• On the existence of positive solutions of fourth-order difference equations
• Existence of positive solutions for BVPs of fourth-order difference equations
• Positive solutions to a fourth order boundary value problem
• Positive solutions to a boundary value problem for the beam equation
• Eigenvalue comparisons for boundary value problems of the discrete beam equation
• Positive fixed points and fourth-order equations
• Existence of solutions to a discrete fourth order periodic boundary value problem
• Existence of solutions of nonlinear fourth order discrete boundary value problem

This page was built for publication: Existence of multiple solutions to a discrete fourth order periodic boundary value problem via variational method