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Real Dynamics of Family of Functions λxex/(ex-1) for Positive λ

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Abstract:

In this paper, the real dynamics of one parameter family of functions hλ(x)=λxex(ex-1), λ>0 is investigated. It is shown that the real fixed point of hλ(x) exists only for 0<λ<1 which is attracting and there is no real fixed point for λ>1 It is found that the whole real line converges to real attracting fixed point of hλ(x) for 0<λ<1.

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Periodical:
Bulletin of Mathematical Sciences and Applications (Volume 8)
Pages:
60-61
DOI:
10.18052/www.scipress.com/BMSA.8.60
Citation:
M. Sajid "Real Dynamics of Family of Functions λxex/(ex-1) for Positive λ", Bulletin of Mathematical Sciences and Applications, Vol. 8, pp. 60-61, 2014
Online since:
May 2014
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