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Kneser’s theorem in \(q\)-calculus. (English) Zbl 1080.39023
The authors obtain oscillation criteria for the solutions of second-order linear \(q\)-difference equations, including an analogue of Kneser’s oscillation criterion. The setting is extremely restrictive: \(q\) is a real number and only functions from \(q^{\mathbb{N}}\) to \(\mathbb{R}\) are considered.

MSC:
39A13 Difference equations, scaling (\(q\)-differences)
39A11 Stability of difference equations (MSC2000)
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