Oscillatory Nonautonomous Lucas Sequences
Copyright policy )Oscillatory Nonautonomous Lucas Sequences
The oscillatory behavior of the solutions of the second‐order linear nonautonomous equation x(n + 1) = a(n)x(n) − b(n)x(n − 1), n ∈ ℕ0, where a, b : ℕ0 → ℝ, is studied. Under the assumption that the sequence b(n) dominates somehow a(n), the amplitude of the oscillations and the asymptotic behavior of its solutions are also analized.
Oscillation theory for difference equations, Linear difference equations, oscillations, QA1-939, Growth, boundedness, comparison of solutions to difference equations, Fibonacci and Lucas numbers and polynomials and generalizations, asymptotic behavior, nonautonomous Lucas sequences, Mathematics, linear difference equation
Oscillation theory for difference equations, Linear difference equations, oscillations, QA1-939, Growth, boundedness, comparison of solutions to difference equations, Fibonacci and Lucas numbers and polynomials and generalizations, asymptotic behavior, nonautonomous Lucas sequences, Mathematics, linear difference equation
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