Anass Ourraoui and Abdesslem Ayoujil
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…
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.