Existence And Multiplicity Of Solutions For Nonlinear Second Order Difference Boundary Value Problems

摘要

In the present paper, the following nonlinear second order difference boundary value problems Δ∣p(n - 1)Δu(n - 1)∣ + q(n)u(n) + f(n. u(n)) = 0. n € Z(1.N). u(0) = u(N), p(0)Δu(0) = p(N)Δu(N) are studied by using the critical theory, and three new multiple results of solutions are obtained, where Z(1. N) = (1.2.....N).f :Z(1.N) × R → R is a continuous function in the second variable, p. q : Z(0, N) → R and p(n) ≠ 0.