Quantitative Bounds for Positive Solutions of a Stević Difference Equation
This paper studies the behavior of positive solutions to the following particular case of a difference equation by Stević 𝑥𝑛+1=𝐴+𝑥𝑝𝑛/𝑥𝑝𝑘+1𝑛−𝑘, 𝑛∈ℕ0, where 𝐴,, , and presents theoretically computable explicit lower and upper bounds for the positive solutions to this equation. Besides, a concrete exam...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2010/235808 |
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| _version_ | 1832567919758802944 |
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| author | Wanping Liu Xiaofan Yang |
| author_facet | Wanping Liu Xiaofan Yang |
| author_sort | Wanping Liu |
| collection | DOAJ |
| description | This paper studies the behavior of positive solutions to the following particular
case of a difference equation by Stević 𝑥𝑛+1=𝐴+𝑥𝑝𝑛/𝑥𝑝𝑘+1𝑛−𝑘, 𝑛∈ℕ0, where 𝐴,, , 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. |
| format | Article |
| id | doaj-art-1e44a43a060e47cb82872470f9eafb91 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-1e44a43a060e47cb82872470f9eafb912025-02-03T01:00:10ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2010-01-01201010.1155/2010/235808235808Quantitative Bounds for Positive Solutions of a Stević Difference EquationWanping Liu0Xiaofan Yang1College of Computer Science, Chongqing University, Chongqing 400044, ChinaCollege of Computer Science, Chongqing University, Chongqing 400044, ChinaThis paper studies the behavior of positive solutions to the following particular case of a difference equation by Stević 𝑥𝑛+1=𝐴+𝑥𝑝𝑛/𝑥𝑝𝑘+1𝑛−𝑘, 𝑛∈ℕ0, where 𝐴,, , 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.http://dx.doi.org/10.1155/2010/235808 |
| spellingShingle | Wanping Liu Xiaofan Yang Quantitative Bounds for Positive Solutions of a Stević Difference Equation Discrete Dynamics in Nature and Society |
| title | Quantitative Bounds for Positive Solutions of a Stević Difference Equation |
| title_full | Quantitative Bounds for Positive Solutions of a Stević Difference Equation |
| title_fullStr | Quantitative Bounds for Positive Solutions of a Stević Difference Equation |
| title_full_unstemmed | Quantitative Bounds for Positive Solutions of a Stević Difference Equation |
| title_short | Quantitative Bounds for Positive Solutions of a Stević Difference Equation |
| title_sort | quantitative bounds for positive solutions of a stevic difference equation |
| url | http://dx.doi.org/10.1155/2010/235808 |
| work_keys_str_mv | AT wanpingliu quantitativeboundsforpositivesolutionsofastevicdifferenceequation AT xiaofanyang quantitativeboundsforpositivesolutionsofastevicdifferenceequation |