LAUSR

Dependence on a parameter λ are established for existence, nonexistence and multiplicity results for nontrivial solutions to a nonlinear Atıcı–Eloe fractional difference equation ∆y(t− 2)− β∆ν−2y(t− 1) = λ f (t + ν− 1, y(t + ν− 1)), with 3 < ν ≤ 4 a real number, under Lidstone boundary conditions. In particular, the uniqueness of solutions and the continuous dependence of the unique solution on the parameter λ are also studied.