On Asymptotic Behavior of Solutions of nth Order Emden-Fowler Type Difference Equations with Advanced Argument

摘要

We study oscillatory properties of solutions of the Emden-Fowler type difference equation Delta((n)) u(k)+ p(k)vertical bar u (sigma(k))vertical bar(lambda) signu (sigma(k)) = 0, where n &= 2, 0 & lambda & 1, p : N -& R+, sigma : N -& N and sigma(k) &= k + 1 for k is an element of. N. Sufficient conditions of new type for oscillation of solutions of the above equation are established. See analogous results for linear ordinary and nonlinear functional differential equations in [1-8].