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- Title
THE SECOND CUSHING--HENSON CONJECTURE FOR THE BEVERTON--HOLT q-DIFFERENCE EQUATION.
- Authors
Bohner, Martin; Streipert, Sabrina H.
- 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.
- Subjects
DIFFERENCE equations; CALCULUS; QUANTUM capacitance; QUANTUM theory; EQUATIONS
- Publication
Opuscula Mathematica, 2017, Vol 37, Issue 6, p795
- ISSN
1232-9274
- Publication type
Article
- DOI
10.7494/OpMath.2017.37.6.795