Oscillation of solutions of a linear second-order discrete-delayed equation (Q978547)

The authors establish the oscillation of all nontrivial solutions of the second order linear difference equation \(\Delta x(n)=-p(n)\,x(n-1)\), where \(p(n)\) is bounded below by a certain expression involving the iterated logarithm functions. The presented oscillation result (Theorem~2.1) is a completion of the corresponding nonoscillation result for this difference equation obtained earlier by the same authors [J. Difference Equ. Appl. 16, No.~9, 1047--1056 (2010; Zbl 1207.39014)], in which the coefficient \(p(n)\) is bounded above by an expression of the same type as described above.