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Existence of a Period-Two Solution in Linearizable Difference Equations
Joint Authors
Kulenovic, Mustafa R. S.
Janowski, E. J.
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-25
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Consider the difference equation xn+1=f(xn,…,xn−k),n=0,1,…, where k∈{1,2,…} and the initial conditions are real numbers.
We investigate the existence and nonexistence of the minimal period-two solution of this equation when it can be rewritten as the nonautonomous linear equation xn+l=∑i=1−lkgixn−i, n=0,1,…, where l,k∈{1,2,…} and the functions gi:ℝk+l→ℝ.
We give some necessary and sufficient conditions for the equation to have a minimal period-two solution when l=1.
American Psychological Association (APA)
Janowski, E. J.& Kulenovic, Mustafa R. S.. 2013. Existence of a Period-Two Solution in Linearizable Difference Equations. Discrete Dynamics in Nature and Society،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-470930
Modern Language Association (MLA)
Janowski, E. J.& Kulenovic, Mustafa R. S.. Existence of a Period-Two Solution in Linearizable Difference Equations. Discrete Dynamics in Nature and Society No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-470930
American Medical Association (AMA)
Janowski, E. J.& Kulenovic, Mustafa R. S.. Existence of a Period-Two Solution in Linearizable Difference Equations. Discrete Dynamics in Nature and Society. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-470930
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-470930