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Oscillation criteria for first and second order forced difference equations with mixed nonlinearities
Affiliation:1. Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901, USA;2. Department of Mathematics, University of Missouri–Rolla, Rolla, MO 65401, USA;3. Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong;4. Department of Engineering Mathematics, Faculty of Engineering, Cairo University, Orman, Giza 12221, Egypt
Abstract:Some new criteria for the oscillation of certain difference equations with mixed nonlinearities are established. The main tool in the proofs is an inequality due to Hardy, Littlewood, and Pólya.
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