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Browsing by Subject "q-difference equation"

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    Item type:Article, Access status: Open Access ,
    The second Cushing-Henson conjecture for the Beverton-Holt q-difference equation
    (Wydawnictwa AGH, 2017) Bohner, Martin; Streipert, Sabrina H.
    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.