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Article
Publication date: 2 October 2020

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.

Details

Arab Journal of Mathematical Sciences, vol. 28 no. 2
Type: Research Article
ISSN: 1319-5166

Keywords

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