Oscillation and nonoscillation of asymptotically almost periodic half-linear difference equations
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.
scientific article; zbMATH DE number 6306834
scientific article