Oscillation of a second order half-linear difference equation and the discrete Hardy inequality

Aigerim Kalybay, Danagul Karatayeva, Ryskul. Oinarov, Ainur Temirkhanova
2017 Electronic Journal of Qualitative Theory of Differential Equations  
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 where 1 < p < ∞, ∆y i = y i+1 − y i , {ρ i } and {v i } are sequences of positive and nonnegative real numbers, respectively. Moreover, we study oscillation and non-oscillation properties of this equation.
doi:10.14232/ejqtde.2017.1.43 fatcat:tmhohhlhkndvhn3kkbnzowqqhm