Solutions of the Difference Equation xn+1=xnxn−1−1

Joint Authors

Kosmala, Witold
Stevic, Stevo
Radin, Michael A.
Kent, Candace M.

Source

Abstract and Applied Analysis

Issue

Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-13, 13 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2010-08-01

Country of Publication

Egypt

No. of Pages

13

Main Subjects

Mathematics

Abstract EN

Our goal in this paper is to investigate the long-term behavior of solutions of the following difference equation: xn+1=xnxn−1−1, n=0,1,2,…, where the initial conditions x−1 and x0 are real numbers.

We examine the boundedness of solutions, periodicity of solutions, and existence of unbounded solutions and how these behaviors depend on initial conditions.

American Psychological Association (APA)

Kent, Candace M.& Kosmala, Witold& Radin, Michael A.& Stevic, Stevo. 2010. Solutions of the Difference Equation xn+1=xnxn−1−1. Abstract and Applied Analysis،Vol. 2010, no. 2010, pp.1-13.
https://search.emarefa.net/detail/BIM-474012

Modern Language Association (MLA)

Kent, Candace M.…[et al.]. Solutions of the Difference Equation xn+1=xnxn−1−1. Abstract and Applied Analysis No. 2010 (2010), pp.1-13.
https://search.emarefa.net/detail/BIM-474012

American Medical Association (AMA)

Kent, Candace M.& Kosmala, Witold& Radin, Michael A.& Stevic, Stevo. Solutions of the Difference Equation xn+1=xnxn−1−1. Abstract and Applied Analysis. 2010. Vol. 2010, no. 2010, pp.1-13.
https://search.emarefa.net/detail/BIM-474012

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-474012