Abstract. In this paper we present a proof by construction that the hyperspace CL(R) of closed, nonemtpy subsets of R is simply connected under the Vietoris topology. This is useful in considering the convergence of time scales. We also present a construction of the (known) fact that this hyperspace is also path connected, as part of the proof. AMS Classification: 54B20, 54D05

No abstract

In this paper we derive a system of differential equations on time scales of the Solow type corresponding to a production function depending on several capitals. A sufficient condition for the exponential stability of the steady-state solution with positive coordinates is proved. The obtained results are applied to the case of the Cobb-Douglas type production function. Mathematics subject classification (2010): 34N05, 26E70, 97E40, 97M10.

No abstract

No abstract

Abstract. The study of dynamic equations on time scales, which goes back to its founder Stefan Hilger (1988), is an area of mathematics which is currently receiving considerable attention. Although the basic aim of this is to unify the study of differential and difference equations, it also extends these classical cases to cases "in between". In this paper we present time scales versions of the inequalities: Hölder,

No abstract

Abstract. In this paper, we consider the second-order nonlinear delay dynamic equation