Sharp explicit oscillation conditions for difference equations with several delays. (English) Zbl 1473.39016
This paper deals with a first-order linear difference equation of the form
\[
\Delta x(n)+\sum \limits_{k=1}^{m}p_{k}(n)x(\tau _{k}(n))=0,~n\in \mathbb{N}_{0}.
\]
Explicit sufficient conditions are stated for the oscillation of all solutions. Moreover, three examples are given to show that some tests used in some recent papers and based on the results in [G. E. Chatzarakis et al., Aequationes Math. 88, No. 1–2, 105–123 (2014; Zbl 1306.39007)] are wrong.
Reviewer: Fatma Karakoç (Ankara)
MSC:
| 39A21 | Oscillation theory for difference equations |
| 39A12 | Discrete version of topics in analysis |
| 39A06 | Linear difference equations |
| 34K11 | Oscillation theory of functional-differential equations |
Citations:
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