Nonoscillation and oscillation criteria for class of higher - order difference equations involving generalized difference operator

Abstract

In this paper, sufficient conditions are obtained for nonoscillation/oscillation of all solutions of a class of higher-order difference equations involving the generalized difference operator of the formwhere ∆a is generalized difference operator which is defined as ∆ayn = y n+1 − ayn , a ̸ = 0.2020 Mathematics Subject Classification. 39A10, 39A21.