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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| Summary: | 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. |
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| ISSN: | 1026-0226 1607-887X |