Convergence and Divergence of the Solutions of a Neutral Difference Equation
Joint Authors
Miliaras, G. N.
Chatzarakis, G. E.
Source
Journal of Applied Mathematics
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-10-25
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
We investigate the asymptotic behavior of the solutions of a neutral type difference equation of the form Δ[x(n)+cx(τ(n))]+p(n)x(σ(n))=0, where τ(n) is a general retarded argument, σ(n) is a general deviated argument (retarded or advanced), c∈ℝ, (p(n))n≥0 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).
Also, we examine the asymptotic behavior of the solutions in case they are continuous and differentiable with respect to c.
American Psychological Association (APA)
Chatzarakis, G. E.& Miliaras, G. N.. 2011. Convergence and Divergence of the Solutions of a Neutral Difference Equation. Journal of Applied Mathematics،Vol. 2011, no. 2011, pp.1-18.
https://search.emarefa.net/detail/BIM-458449
Modern Language Association (MLA)
Chatzarakis, G. E.& Miliaras, G. N.. Convergence and Divergence of the Solutions of a Neutral Difference Equation. Journal of Applied Mathematics No. 2011 (2011), pp.1-18.
https://search.emarefa.net/detail/BIM-458449
American Medical Association (AMA)
Chatzarakis, G. E.& Miliaras, G. N.. Convergence and Divergence of the Solutions of a Neutral Difference Equation. Journal of Applied Mathematics. 2011. Vol. 2011, no. 2011, pp.1-18.
https://search.emarefa.net/detail/BIM-458449
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-458449