Asymptotic and boundedness behaviour of a rational difference equation
In this work, we investigate the asymptotic behaviour and examine boundedness of the solutions for the following difference equation xn+1=αλ−(nxn+(n−k)xn−k)β+nxn+(n−k)xn−k,n=0,1,2,…(1) where λ≥1 and α,β≥0 and x−k,x−(k−1),…,x−1,x0 are arbitrary numbers.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Taylor and Francis
2019
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| Online Access: | http://psasir.upm.edu.my/id/eprint/80768/ http://psasir.upm.edu.my/id/eprint/80768/1/Asymptotic%20and%20boundedness%20behaviour%20of%20a%20rational%20difference%20equation.pdf |
| _version_ | 1848858952593309696 |
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| author | Dilip, Devadanam Suseela Kilicman, Adem Babu, Sibi C. |
| author_facet | Dilip, Devadanam Suseela Kilicman, Adem Babu, Sibi C. |
| author_sort | Dilip, Devadanam Suseela |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this work, we investigate the asymptotic behaviour and examine boundedness of the solutions for the following difference equation
xn+1=αλ−(nxn+(n−k)xn−k)β+nxn+(n−k)xn−k,n=0,1,2,…(1) where λ≥1 and α,β≥0 and x−k,x−(k−1),…,x−1,x0 are arbitrary numbers. |
| first_indexed | 2025-11-15T12:21:37Z |
| format | Article |
| id | upm-80768 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T12:21:37Z |
| publishDate | 2019 |
| publisher | Taylor and Francis |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-807682021-04-15T03:22:15Z http://psasir.upm.edu.my/id/eprint/80768/ Asymptotic and boundedness behaviour of a rational difference equation Dilip, Devadanam Suseela Kilicman, Adem Babu, Sibi C. In this work, we investigate the asymptotic behaviour and examine boundedness of the solutions for the following difference equation xn+1=αλ−(nxn+(n−k)xn−k)β+nxn+(n−k)xn−k,n=0,1,2,…(1) where λ≥1 and α,β≥0 and x−k,x−(k−1),…,x−1,x0 are arbitrary numbers. Taylor and Francis 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/80768/1/Asymptotic%20and%20boundedness%20behaviour%20of%20a%20rational%20difference%20equation.pdf Dilip, Devadanam Suseela and Kilicman, Adem and Babu, Sibi C. (2019) Asymptotic and boundedness behaviour of a rational difference equation. Journal of Difference Equations and Applications, 25 (3). pp. 305-312. ISSN 1023-6198; ESSN: 1563-5120 https://www.tandfonline.com/doi/abs/10.1080/10236198.2019.1568424?journalCode=gdea20 10.1080/10236198.2019.1568424 |
| spellingShingle | Dilip, Devadanam Suseela Kilicman, Adem Babu, Sibi C. Asymptotic and boundedness behaviour of a rational difference equation |
| title | Asymptotic and boundedness behaviour of a rational difference equation |
| title_full | Asymptotic and boundedness behaviour of a rational difference equation |
| title_fullStr | Asymptotic and boundedness behaviour of a rational difference equation |
| title_full_unstemmed | Asymptotic and boundedness behaviour of a rational difference equation |
| title_short | Asymptotic and boundedness behaviour of a rational difference equation |
| title_sort | asymptotic and boundedness behaviour of a rational difference equation |
| url | http://psasir.upm.edu.my/id/eprint/80768/ http://psasir.upm.edu.my/id/eprint/80768/ http://psasir.upm.edu.my/id/eprint/80768/ http://psasir.upm.edu.my/id/eprint/80768/1/Asymptotic%20and%20boundedness%20behaviour%20of%20a%20rational%20difference%20equation.pdf |