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

Sajid, Mohammad

doi:10.18052/www.scipress.com/BMSA.8.60

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Real Dynamics of Family of Functions λxe^x/(e^x-1) for Positive λ

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Abstract:

In this paper, the real dynamics of one parameter family of functions h_λ(x)=λxe^x(ex-1), λ>0 is investigated. It is shown that the real fixed point of h_λ(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 h_λ(x) for 0<λ<1.

Info:

Periodical:

Bulletin of Mathematical Sciences and Applications (Volume 8)

Pages:

60-61

DOI:

https://doi.org/10.18052/www.scipress.com/BMSA.8.60

Citation:

M. Sajid, "Real Dynamics of Family of Functions λxe^x/(e^x-1) for Positive λ", Bulletin of Mathematical Sciences and Applications, Vol. 8, pp. 60-61, 2014

Online since:

May 2014

Authors:

Mohammad Sajid

Keywords:

Fixed Points

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Open Access

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Creative Commons Attribution 4.0 International License

References:

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M. Sajidand G. P. Kapoor, Dynamics of Transcendental Meromorphic Functions ( z   )e z /(z    4) : having rational Schwarzian Derivative, Dynamical systems: An International Journal, 22, No 3 (2007), 323-337.

M. Sajid, Singular Values and Fixed Points of Family of Function Math., 27, No 2 (2014), 147-154. ( ze z ) /(e z  1), Int. J. Appl.

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