Browsing by Subject "multiplicity of solutions"
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Item type:Article, Access status: Open Access , A note on nonlocal discrete problems involving sign-changing Kirchhoff functions(Wydawnictwa AGH, 2025) Ricceri, BiagioIn 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) \(b\gt 0\).
