Quantitative Bounds for Positive Solutions of a Stević Difference Equation
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-06-06
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
This paper studies the behavior of positive solutions to the following particular case of a difference equation by Stević xn+1=A+xnp/xn−kpk+1, n∈ℕ0, where A,p∈(0,+∞), k∈ℕ, and presents theoretically computable explicit lower and upper bounds for the positive solutions to this equation.
Besides, a concrete example is given to show the computing approaches which are effective for small parameters.
Some analogous results are also established for the corresponding Stević max-type difference equation.
American Psychological Association (APA)
Liu, Wanping& Yang, Xiaofan. 2010. Quantitative Bounds for Positive Solutions of a Stević Difference Equation. Discrete Dynamics in Nature and Society،Vol. 2010, no. 2010, pp.1-14.
https://search.emarefa.net/detail/BIM-456092
Modern Language Association (MLA)
Liu, Wanping& Yang, Xiaofan. Quantitative Bounds for Positive Solutions of a Stević Difference Equation. Discrete Dynamics in Nature and Society No. 2010 (2010), pp.1-14.
https://search.emarefa.net/detail/BIM-456092
American Medical Association (AMA)
Liu, Wanping& Yang, Xiaofan. Quantitative Bounds for Positive Solutions of a Stević Difference Equation. Discrete Dynamics in Nature and Society. 2010. Vol. 2010, no. 2010, pp.1-14.
https://search.emarefa.net/detail/BIM-456092
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-456092