TY  - JOUR
ID  - Ye2025
LB  - Ye2025
AU  - Ye, Fumei
TI  - Nontrivial solutions of discrete Kirchhoff-type problem via bifurcation theory
ST  - Nontrivial solutions of discrete Kirchhoff-type problem via bifurcation theory
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2025
VL  - 45
IS  - 4
SP  - 559
EP  - 573
DO  - https://doi.org/10.7494/OpMath.2025.45.4.559
UR  - https://doi.org/10.7494/OpMath.2025.45.4.559
AB  - In this paper, we show that the bifurcation points for a discrete Kirchhoff-type problem with only local conditions, and we investigate the existence of positive and negative solutions for the problem when the nonlinear term \(f\) is asymptotically linear at zero and is asymptotically 3-linear at infinity. By using bifurcation techniques and the idea of taking limits of connected branches, under the assumption that \(f\) has some non-zero zeros, some results are also obtained.
KW  - discrete Kirchhoff-type problem
KW  - nontrivial solution
KW  - bifurcation
KW  - superior limit
SN  - 1232-9274
ER  -