The second Cushing-Henson conjecture for the beverton holt q-difference equation

• Autorzy: Bohner M. , Streipert S. H.

Identyfikatory

DOI

10.7494/OpMath.2017.37.6.795

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Beverton-Holt equation; Cushing-Henson conjectures; Q-difference equation; periodic solution

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2017
• Tom: Vol. 37, no. 6
• Strony: 795--819
• Opis fizyczny: Bibliogr. 18 poz.

Twórcy

autor

Bohner M.

• Department of Mathematics and Statistics Missouri S&T, Rolla MO 65409-0020, USA

autor

Streipert S. H.

• Department of Mathematics and Statistics Missouri S&T, Rolla MO 65409-0020, USA

Bibliografia

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• [10] M. Bohner, S.H. Streipert, The Beverton-Holt q-difference equation with periodic growth rate, [in:] Difference Equations, Discrete Dynamical Systems, and Applications. Springer-Verlag, Berlin, Heidelberg, New York, 2015, pp. 3-14.
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Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).