Convergence of the Solutions for a Neutral Difference Equation with Negative Coefficients

George E. Chatzarakis; George N. Miliaras

doi:10.2478/tmmp-2013-0003

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Convergence of the Solutions for a Neutral Difference Equation with Negative Coefficients

Tatra Mountains Mathematical Publications

Volume 54 (2013): Issue 1 (April 2013)

By: George E. Chatzarakis and George N. Miliaras

Open Access

|Jul 2013

Abstract

In this paper, we investigate the asymptotic behavior of the solutions of a neutral type difference equation of the form

where τj (n), j = 1, . . . , w are general retarded arguments, σ(n) is a general deviated argument, [###] is a sequence of positive real numbers such that p(n) ≥ p, p ∈ R+, and Δ denotes the forward difference operator Δx(n) = x(n + 1) − x(n).

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Articles in this issue

DOI: https://doi.org/10.2478/tmmp-2013-0003 | Journal eISSN: 1338-9750 | Journal ISSN: 1210-3195

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Language: English

Page range: 31 - 43

Published on: Jul 4, 2013

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

neutral difference equations,

retarded argument,

deviated argument,

oscillatory solutions,

nonoscillatory solutions,

Related subjects:

© 2013 George E. Chatzarakis, George N. Miliaras, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons License.

Volume 54 (2013): Issue 1 (April 2013)