Oscillation and nonoscillation of asymptotically almost periodic half-linear difference equations. (English) Zbl 1291.39035
Summary: We analyse half-linear difference equations with asymptotically almost periodic coefficients. Using the adapted Riccati transformation, we prove that these equations are conditionally oscillatory. We explicitly find a constant, determined by the coefficients of a given equation, which is the borderline between the oscillation and the nonoscillation of the equation. We also mention corollaries of our result with several examples.
MSC:
| 39A21 | Oscillation theory for difference equations |
References:
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