An application on the second-order generalized difference equations

In this paper, we study the solutions of the second-order generalized difference equation having the form of 1 Δ ℓ 2 u ( k ) + f ( k , u ( k ) ) = 0 , k ∈ [ a , ∞ ) , a > 0 , ℓ ∈ ( 0 , ∞ ) , where Δ ℓ u ( k ) = u ( k + ℓ ) − u ( k ) . Then we provide applications on ℓ 2 ( ℓ ) and c 0 ( ℓ ) . AMS...

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Bibliographic Details

Published in:	Advances in difference equations Vol. 2013; no. 1
Main Authors:	Manuel, Mariasebastin Maria Susai, Kılıçman, Adem, Xavier, Gnanadhass Britto Antony, Pugalarasu, Rajan, Dilip, Devadanam Suseela
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 14.02.2013
Subjects:	Analysis Difference and Functional Equations Functional Analysis Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations Progress in Functional Differential and Difference Equations generalized difference equation generalized difference operator finite series and infinite series
ISSN:	1687-1847, 1687-1847
Online Access:	Get full text
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