Existence and Multiplicity of Solutions for a Discrete Fourth-Order Boundary Value Problem
Maisam Boroun1, Shapour Heidarkhani1 and Mustafa Avci2
1 Department of Mathematics, Faculty of Sciences, Razi University, 67149 Kermanshah, Iran
2 Department of Applied Mathematics, Faculty of Science and Technology, Athabasca University, AB, Canada
Received on February 23, 2025, revised on August 8, 2025
Accepted conditionally on April 29, 2025
Communicated by Mahamadi Warma
| Abstract. The purpose of this paper is to establish some results on the existence of multiple solutions for a discrete fourth-order problem. The approach is based on variational methods. Some applications and examples are provided to illustrate the obtained results. | |
| Keywords: | Discrete equation, fourth-order boundary value problem, multiple solutions, variational methods. |
| 2010 Mathematics Subject Classification: 39A10; 39A12. | |
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