@Article{Ricceri2025,
author = "Ricceri, Biagio",
title = "A note on nonlocal discrete problems involving sign-changing Kirchhoff functions",
journal = "Opuscula Math.",
year = "2025",
volume = "45",
number = "5",
pages = "657--663",
doi = "https://doi.org/10.7494/OpMath.2025.45.5.657",
url = "https://doi.org/10.7494/OpMath.2025.45.5.657",
abstract = "In this note, we establish a multiplicity theorem for a nonlocal discrete problem of the type \[\begin{cases} -\left(a\sum_{m=1}^{n+1}|x_m-x_{m-1}|^2+b\right)(x_{k+1}-2x_k+x_{k-1})=h_k(x_k), &k=1,\ldots ,n, \\ x_0=x_{n+1}=0 \end{cases}\] assuming \(a\gt 0\) and (for the first time) \(b\gt 0\).",
keywords = "minimax theorems, Kirchhoff functions, difference equations, variational methods, multiplicity of solutions",
issn = "1232-9274"
}