BIFURCATIONS FROM INTERVALS FOR DISCRETE BOUNDARY VALUE PROBLEMS INVOLVING p-LAPLACIANS
Abstract
We are concerned with the global bifurcation results for p-Laplacian discrete problem −Δ[φp(Δu(t−1))]=λa(t)φp(u(t))+a(t)f(t,u(t),λ)+g(t,u(t),λ),t∈[1,T]Z,u(0)=u(T+1)=0, where λ>0 is a parameter, a:[1,T]Z→[0,∞),f,g∈C([0,T+1]Z×ℝ2,ℝ), Δu(t)=u(t+1)−u(t) is the forward difference operator, φp(s)=|s|p−2s(1 0.
Fields of Study & Subjects
Nonlinear Differential Equations Analysis
Nonlinear Partial Differential Equations
Advanced Differential Equations and Dynamical Systems
Publication details
- Journal / source
- Rocky Mountain Journal of Mathematics
- Volume
- 56
- Issue
- 1
- Pages
- 281–295
- Publication date
- 1 February 2026