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Zbl 1080.39023
Bohner, Martin; Ünal, Mehmet
Kneser's theorem in $q$-calculus. (English)
[J] J. Phys. A, Math. Gen. 38, No. 30, 6729-6739 (2005). ISSN 0305-4470

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 $q^{\Bbb{N}}$ to $\Bbb{R}$ are considered.
[Jacques Sauloy (Toulouse)]

MSC 2000:: *39A13 Difference equations, scaling ($q$-differences)
39A11 Stability of difference equations

Keywords: oscillation; second-order linear $q$-difference equations

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