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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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