Linearized Riccati Technique and (Non-)Oscillation Criteria for Half-Linear Difference Equations
© O. Došlý and S. Fišnarová. 2008
Received: 2 January 2007
Accepted: 23 August 2007
Published: 26 November 2007
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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