On a Third-Order System of Difference Equations with Variable Coefficients
Joint Authors
Šmarda, Zdenĕk
Iričanin, Bratislav
Stevic, Stevo
Diblík, Josef
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-29
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
We show that the system of three difference equations xn+1=an(1)xn-2/(bn(1)ynzn-1xn-2+cn(1)), yn+1=an(2)yn-2/(bn(2)znxn-1yn-2+cn(2)), and zn+1=an(3)zn-2/(bn(3)xnyn-1zn-2+cn(3)), n∈N0, where all elements of the sequences an(i), bn(i), cn(i), n∈N0, i∈{1,2,3}, and initial values x-j, y-j, z-j, j∈{0,1,2}, are real numbers, can be solved.
Explicit formulae for solutions of the system are derived, and some consequences on asymptotic behavior of solutions for the case when coefficients are periodic with period three are deduced.
American Psychological Association (APA)
Stevic, Stevo& Diblík, Josef& Iričanin, Bratislav& Šmarda, Zdenĕk. 2012. On a Third-Order System of Difference Equations with Variable Coefficients. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-22.
https://search.emarefa.net/detail/BIM-477230
Modern Language Association (MLA)
Stevic, Stevo…[et al.]. On a Third-Order System of Difference Equations with Variable Coefficients. Abstract and Applied Analysis No. 2012 (2012), pp.1-22.
https://search.emarefa.net/detail/BIM-477230
American Medical Association (AMA)
Stevic, Stevo& Diblík, Josef& Iričanin, Bratislav& Šmarda, Zdenĕk. On a Third-Order System of Difference Equations with Variable Coefficients. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-22.
https://search.emarefa.net/detail/BIM-477230
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-477230