@Article{Bohner2017,
author = "Bohner, Martin and Streipert, Sabrina H.",
title = "The second Cushing-Henson conjecture for the Beverton-Holt q-difference equation",
journal = "Opuscula Math.",
year = "2017",
volume = "37",
number = "6",
pages = "795--819",
doi = "http://dx.doi.org/10.7494/OpMath.2017.37.6.795",
url = "http://dx.doi.org/10.7494/OpMath.2017.37.6.795",
abstract = "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.",
keywords = "Beverton-Holt equation, Cushing-Henson conjectures, \(q\)-difference equation, periodic solution",
issn = "1232-9274"
}