Browsing by Author "Bohner, Martin"

Now showing 1 - 3 of 3

Access status: Open Access ,
Asymptotic behavior of nonoscillatory solutions of higher-order integro-dynamic equations
(2014) Bohner, Martin; Grace, Said R.; Sultana, Nasrin
In this paper, we establish some new criteria on the asymptotic behavior of nonoscillatory solutions of higher-order integro-dynamic equations on time scales.
Access status: Open Access ,
Existence of three solutions for impulsive multi-point boundary value problems
(2017) Bohner, Martin; Heidarkhani, Shapour; Salari, Amjad; Caristi, Giuseppe
This paper is devoted to the study of the existence of at least three classical solutions for a second-order multi-point boundary value problem with impulsive effects. We use variational methods for smooth functionals defined on reflexive Banach spaces in order to achieve our results. Also by presenting an example, we ensure the applicability of our results.
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.