Abstract:
In local terms on finite and infinite intervals we obtain necessary and sufficient conditions for the conjugacy and disconjugacy of the following second order half-linear difference equation Δ(ρi|Δyi|p-2Δyi) + vi|yi+1|p-2yi+1 = 0, i=0,1,2,…, where 1 < p < ∞, Δyi = yi+1 − yi, {ρi} and {vi} are sequences of positive and nonnegative real numbers, respectively. Moreover, we study oscillation and non-oscillation properties of this equation. © 2017, Texas State University - San Marcos. All rights reserved.
