@article{Gao2024, 
author = {Chenghua Gao and Enming Yang and Huijuan Li},
title = {Solutions to a discrete resonance problem with eigenparameter-dependent boundary conditions},
year = {2024},
journal = {Electronic Research Archive},
volume = {32},
number = {3},
pages = {1692-1707},
keywords = {discrete resonance problem, eigenparameter-dependent boundary conditions, Lyapunov-Schmidt method, existence, multiplicity},
url = {https://www.sciopen.com/article/10.3934/era.2024077},
doi = {10.3934/era.2024077},
abstract = {In this paper, we considered the existence of solutions to a discrete second-order resonance problem with eigenparameter-dependent boundary conditions. We first transformed the resonance problem into its corresponding equivalent system using the Lyapunov-Schmidt method. In addition, using Schauder's fixed-point theorem and the connectivity theories of the solution set of compact vector fields, we obtained the existence and multiplicity of solutions to the second-order discrete resonance problem with eigenparameter-dependent boundary conditions.}
}