Existence of infinitely many solutions of nonlinear fourth-order discrete boundary value problems

DOI10.1186/s13661-022-01640-yzbMath1498.39017OpenAlexW4292177568WikidataQ113753418 ScholiaQ113753418MaRDI QIDQ2081710

Yanshan Chen, Zhan Zhou

Publication date: 30 September 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-022-01640-y

zbMATH Keywords

critical point theorydiscrete boundary value problemfourth orderinfinitely many solutions

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Growth, boundedness, comparison of solutions to difference equations (39A22) Boundary value problems for difference equations (39A27)

Cites Work

• Existence of periodic and subharmonic solutions for second-order superlinear difference equations
• On fourth order boundary value problems arising in beam analysis
• Existence of periodic solutions for fourth-order difference equations
• On discrete fourth-order boundary value problems with three parameters
• A boundary value problem for fourth-order elastic beam equations
• Existence and uniqueness theorems for fourth-order boundary value problems
• The method of lower and upper solutions for a bending of an elastic beam equation
• Infinitely many positive solutions for a discrete two point nonlinear boundary value problem with \(\phi_c\)-Laplacian
• On the existence of positive solutions of fourth-order difference equations
• A general variational principle and some of its applications
• On the existence of multiple solutions for a partial discrete Dirichlet boundary value problem with mean curvature operator
• Homoclinic solutions of discrete prescribed mean curvature equations with mixed nonlinearities
• One discrete dynamical model on the \textit{Wolbachia} infection frequency in mosquito populations
• Multiple solutions of fourth-order functional difference equation with periodic boundary conditions
• Ground state solutions of discrete asymptotically linear Schrödinger equations with bounded and non-periodic potentials
• Positive solutions to a fourth order boundary value problem
• Multiplicity results of breathers for the discrete nonlinear Schrödinger equations with unbounded potentials
• Existence and uniqueness theorems for the bending of an elastic beam equation
• Existence of solutions to a discrete fourth order boundary value problem
• Neimark‐Sacker bifurcation of a fourth order difference equation
• Modeling and Analysis of the Implementation of the Wolbachia Incompatible and Sterile Insect Technique for Mosquito Population Suppression
• Homoclinic Solutions of Periodic Discrete Schrödinger Equations with Local Superquadratic Conditions
• Existence of solutions of nonlinear fourth order discrete boundary value problem

This page was built for publication: Existence of infinitely many solutions of nonlinear fourth-order discrete boundary value problems