On a class of non-local discrete boundary value problepm
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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Emerald Publishing
2022-06-01
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| Series: | Arab Journal of Mathematical Sciences |
| Subjects: | |
| Online Access: | https://www.emerald.com/insight/content/doi/10.1108/AJMS-06-2020-0003/full/pdf |
| Summary: | 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. |
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| ISSN: | 1319-5166 2588-9214 |