The Second Cushing-Henson Conjecture for the Beverton-Holt q-Difference Equation
In this paper, we study the second Cushing-Henson conjecture for the Beverton-Holt difference equation with periodic inherent growth rate and periodic carrying capacity in the quantum calculus setting. We give a short summary of recent results regarding the Beverton-Holt difference and q-difference equation and introduce the theory of quantum calculus briefly. Next, we analyze the second Cushing-Henson conjecture. We extend recent studies in [The Beverton-Holt q-difference equation with periodic growth rate, Difference Equations, Discrete Dynamical Systems, and Applications, Springer-Verlag, Berlin, Heidelberg, New York, 2015, pp. 3-14] and state a modified formulation of the second Cushing-Henson conjecture for the Beverton-Holt q-difference equation as a generalization of existing formulations.
M. Bohner and S. H. Streipert, "The Second Cushing-Henson Conjecture for the Beverton-Holt q-Difference Equation," Opuscula Mathematica, vol. 37, no. 6, pp. 795 - 819, AGH University of Science and Technology, Jan 2017.
The definitive version is available at https://doi.org/10.7494/OpMath.2017.37.6.795
Mathematics and Statistics
Keywords and Phrases
Beverton-Holt equation; Cushing-Henson conjectures; Periodic solution; Q-difference equation
International Standard Serial Number (ISSN)
Article - Journal
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01 Jan 2017