Three Solutions for a Discrete Fourth-Order Boundary Value Problem with Three Parameters
Abstract
This Paper Presents Several Sufficient Conditions for the Existence of at Least Three Classical Solutions of a Boundary Value Problem for a Fourth-Order Difference Equation. Fourth-Order Boundary Value Problems Act as Models for the Bending or Deforming of Elastic Beams. in Different Fields of Research, Such as Computer Science, Mechanical Engineering, Control Systems, Artificial or Biological Neural Networks, Economics and Many Others, the Mathematical Modelling of Important Questions Leads Naturally to the Consideration of Nonlinear Difference Equations. Our Technical Approach is based on Variational Methods. an Example is Included in the Paper. Numerical Computations of the Example Confirm Our Theoretical Results.
Recommended Citation
M. Bohner et al., "Three Solutions for a Discrete Fourth-Order Boundary Value Problem with Three Parameters," Boletim da Sociedade Paranaense de Matematica, vol. 42, Universidade Estadual de Maringá; Sociedade Paranaense de Matemática, Jan 2024.
The definitive version is available at https://doi.org/10.5269/bspm.64229
Department(s)
Mathematics and Statistics
International Standard Serial Number (ISSN)
2175-1188; 0037-8712
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2024 Learned Society, All rights reserved.
Creative Commons Licensing
This work is licensed under a Creative Commons Attribution 4.0 License.
Publication Date
01 Jan 2024
