Kneser's Theorem in Q-calculus
While difference equations deal with discrete calculus and differential equations with continuous calculus, so-called q-difference equations are considered when studying q-calculus. In this paper, we obtain certain oscillation criteria for second-order q-difference equations, among them a q-calculus version of the famous Kneser theorem.
M. Unal and M. Bohner, "Kneser's Theorem in Q-calculus," Journal of Physics A: Mathematics and General, Institute of Physics - IOP Publishing, Jan 2005.
The definitive version is available at http://dx.doi.org/10.1088/0305-4470/38/30/008
Mathematics and Statistics
University of Missouri Research Board
Keywords and Phrases
Kneser's theorem; continuous calculus; discrete calculus; q-calculus; q-difference equations
Article - Journal
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