Existence of solutions to a discrete fourth order boundary value problem

DOI10.1080/10236198.2018.1428963zbMath1391.39006OpenAlexW2792580899MaRDI QIDQ4576735

Shapour Heidarkhani, Lingju Kong, Min Wang, John R. Graef

Publication date: 10 July 2018

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

Full work available at URL: https://doi.org/10.1080/10236198.2018.1428963

zbMATH Keywords

variational methoddiscrete boundary value problemmountain pass lemma

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 (15)

Nontrivial solutions for nonlinear discrete boundary value problems of the fourth order ⋮ Expansion of eigenvalues of the perturbed discrete bilaplacian ⋮ Multiple solutions for the nonlinear algebraic system with the indefinite coefficient matrix ⋮ Existence of solutions for a second order discrete boundary value problem with mixed periodic boundary conditions ⋮ A variational framework for second-order backward discrete boundary value problems ⋮ Unnamed Item ⋮ Anisotropic discrete boundary value problems ⋮ Unnamed Item ⋮ Discrete fourth-order boundary value problems with four parameters ⋮ Existence of multiple solutions to a discrete boundary value problem with mixed periodic boundary conditions ⋮ A variational framework for a second order discrete boundary value problem with mixed periodic boundary conditions ⋮ Existence results for a fourth-order discrete boundary value problem with a parameter ⋮ New existence criterion of infinitely many solutions for partial discrete Dirichlet problems ⋮ Existence of infinitely many solutions of nonlinear fourth-order discrete boundary value problems ⋮ Multiplicity and minimality of periodic solutions to fourth-order super-quadratic difference systems

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