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Linearized Riccati Technique and (Non-)Oscillation Criteria for Half-Linear Difference Equations
Advances in Difference Equations volume 2008, Article number: 438130 (2007)
Abstract
We consider the half-linear second-order difference equation , , , where , are real-valued sequences. We associate with the above-mentioned equation a linear second-order difference equation and we show that oscillatory properties of the above-mentioned one can be investigated using properties of this associated linear equation. The main tool we use is a linearization technique applied to a certain Riccati-type difference equation corresponding to the above-mentioned one.
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Došlý, O., Fišnarová, S. Linearized Riccati Technique and (Non-)Oscillation Criteria for Half-Linear Difference Equations. Adv Differ Equ 2008, 438130 (2007). https://doi.org/10.1155/2008/438130
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DOI: https://doi.org/10.1155/2008/438130