On a class of non-local discrete boundary value problepm

Abstract

Purpose – In this article, the authors discuss the existence and multiplicity of solutions for an anisotropic discrete boundary value problem in T-dimensional Hilbert space. The approach is based on variational methods especially on the three critical points theorem established by B. Ricceri. Design/methodology/approach – The approach is based on variational methods especially on the three critical points theorem established by B. Ricceri. Findings – The authors study the existence of results for a discrete problem, with two boundary conditions type. Accurately, the authors have proved the existence of at least three solutions. Originality/value – An other feature is that problem is with non-local term, which makes some difficulties in the proof of our results.

Keywords

• Variational method
• Discrete boundary value problem