Quantitative Bounds for Positive Solutions of a Stević Difference Equation
Keywords
Social sciences (General)H1-99
Social Sciences
H
DOAJ:Social Sciences
Mathematics
QA1-939
Science
Q
DOAJ:Mathematics
DOAJ:Mathematics and Statistics
Social sciences (General)
H1-99
Social Sciences
H
DOAJ:Social Sciences
Mathematics
QA1-939
Science
Q
DOAJ:Mathematics
DOAJ:Mathematics and Statistics
Social sciences (General)
H1-99
Social Sciences
H
Mathematics
QA1-939
Science
Q
Social sciences (General)
H1-99
Social Sciences
H
Mathematics
QA1-939
Science
Q
Social sciences (General)
H1-99
Social Sciences
H
Mathematics
QA1-939
Science
Q
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Show full item recordAbstract
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.Date
2010-01-01Type
ArticleIdentifier
oai:doaj.org/article:1e44a43a060e47cb82872470f9eafb9110.1155/2010/235808
1026-0226
1607-887X
https://doaj.org/article/1e44a43a060e47cb82872470f9eafb91
Copyright/License
CC BYCollections
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