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Critical Oscillation Constant for Difference Equations with Almost Periodic Coefficients

Critical Oscillation Constant for Difference Equations with Almost Periodic Coefficients

We investigate a type of the Sturm‐Liouville difference equations with almost periodic coefficients. We prove that there exists a constant, which is the borderline between the oscillation and the nonoscillation of these equations. We compute this oscillation constant explicitly. If the almost periodic coefficients are replaced by constants, our result …