TY  - JOUR
ID  - Bohner2017
LB  - Bohner2017
AU  - Bohner, Martin
AU  - Streipert, Sabrina H.
TI  - The second Cushing-Henson conjecture for the Beverton-Holt q-difference equation
ST  - The second Cushing-Henson conjecture for the Beverton-Holt q-difference equation
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2017
VL  - 37
IS  - 6
SP  - 795
EP  - 819
DO  - http://dx.doi.org/10.7494/OpMath.2017.37.6.795
UR  - http://dx.doi.org/10.7494/OpMath.2017.37.6.795
AB  - 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.
KW  - Beverton-Holt equation
KW  - Cushing-Henson conjectures
KW  - \(q\)-difference equation
KW  - periodic solution
SN  - 1232-9274
ER  -