A note on nonlocal discrete problems involving sign-changing Kirchhoff functions
Classical Analysis and ODEs
2025-05-20 v1
Abstract
In this note, we establish a multiplicity theorem for a nonlocal discrete problem of the type \cases{-\left(a\sum_{m=1}^{n+1}|x_m-x_{m-1}|^2+b\right)(x_{k+1}-2x_k+x_{k-1})=h_k(x_k)\hskip 10pt k=1,...,n, \cr & \cr x_0=x_{n+1}=0\cr} assuming and (for the first time) .
Cite
@article{arxiv.2505.12790,
title = {A note on nonlocal discrete problems involving sign-changing Kirchhoff functions},
author = {Biagio Ricceri},
journal= {arXiv preprint arXiv:2505.12790},
year = {2025}
}