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.
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| 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/80768/1/Asymptotic%20and%20boundedness%20behaviour%20of%20a%20rational%20difference%20equation.pdf http://psasir.upm.edu.my/id/eprint/80768/ https://www.tandfonline.com/doi/abs/10.1080/10236198.2019.1568424?journalCode=gdea20 |
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| Summary: | 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. |
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