An application on the second-order generalized difference equations

• Main Authors: Maria Susai Manuel, Mariasebastin, Kilicman, Adem, Xavier, Gnanadhass Britto Antony, Pugalarasu, Rajan, Dilip, Devadanam Suseela
• Format: Article
• Language: English; English
• Published: SpringerOpen 2013
• Online Access: http://psasir.upm.edu.my/id/eprint/30049/1/An%20application%20on%20the%20second.pdf; http://psasir.upm.edu.my/id/eprint/30049/; http://www.advancesindifferenceequations.com/content/2013/February/2013

In this paper, we study the solutions of the second-order generalized difference equation having the form of Δ2 ℓu(k) + f (k, u(k)) = 0, k ε [a,8), a > 0, ℓ ε (0,∞), (1) whereΔℓu(k) = u(k + ℓ) - u(k). Then we provide applications on ℓ2(ℓ) and cα(ℓ).