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Oscillation of solutions of a linear second-order discrete-delayed equation. (English) Zbl 1200.39002
The authors establish the oscillation of all nontrivial solutions of the second order linear difference equation Δx(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.
MSC:
39A21Oscillation theory (difference equations)
39A12Discrete version of topics in analysis
39A06Linear equations (difference equations)
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