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Oscillation Conditions for Difference Equations with a Monotone or Nonmonotone Argument
Joint Authors
Stavroulakis, I. P.
Moremedi, G. M.
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-06-21
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
Consider the first-order delay difference equation with a constant argument Δxn+pnxn-k=0, n=0,1,2,…, and the delay difference equation with a variable argument Δxn+pnxτn=0, n=0,1,2,…, where p(n) is a sequence of nonnegative real numbers, k is a positive integer, Δx(n)=x(n+1)-x(n), and τ(n) is a sequence of integers such that τ(n)≤n-1 for all n≥0 and limn→∞τ(n)=∞.
A survey on the oscillation of all solutions to these equations is presented.
Examples illustrating the results are given.
American Psychological Association (APA)
Moremedi, G. M.& Stavroulakis, I. P.. 2018. Oscillation Conditions for Difference Equations with a Monotone or Nonmonotone Argument. Discrete Dynamics in Nature and Society،Vol. 2018, no. 2018, pp.1-13.
https://search.emarefa.net/detail/BIM-1152923
Modern Language Association (MLA)
Moremedi, G. M.& Stavroulakis, I. P.. Oscillation Conditions for Difference Equations with a Monotone or Nonmonotone Argument. Discrete Dynamics in Nature and Society No. 2018 (2018), pp.1-13.
https://search.emarefa.net/detail/BIM-1152923
American Medical Association (AMA)
Moremedi, G. M.& Stavroulakis, I. P.. Oscillation Conditions for Difference Equations with a Monotone or Nonmonotone Argument. Discrete Dynamics in Nature and Society. 2018. Vol. 2018, no. 2018, pp.1-13.
https://search.emarefa.net/detail/BIM-1152923
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1152923