(2) x∆(t) = G(t, x(s); 0 ≤ s ≤ t) := G(t, x(·)) on a time scale T that is unbounded above with 0 ∈ T, where x ∈ R andG : [0,∞)T× R 7→ R is a is rd-continuous function in t and x with G(t, 0) = 0. Throughout this paper, for each continuous function φ : [0, t0]T 7→ R there exists at least one continuous function x(t) = x(t, t0, φ) on an interval [t0, a]T such that it satisfies (2) for t ∈ [t0, a]...

The terminal set M is a closed subset of Rn+1. The admissible control set U is assumed to be the set of piecewise continuous function on [t0, t1]. The performance function J is assumed to be C1. The function V (·, ·) is called the value function and we shall use the convention V (t0, x0) = ∞ if the control problem above admits no feasible solution. We will denote by U(x0, t0), the set of feasib...

The authors retrospectively investigated the postoperative position of the distal radius after a corrective osteotomy using 2-dimensional (2-D) and 3-dimensional (3-D) imaging techniques to determine whether malposition correlates with clinical outcome. Twenty-five patients who underwent a corrective osteotomy were available for follow-up. The residual positioning errors of the distal end were ...

AIM The aim of the present study was to determine immediate changes of global and regional lung function after exogenous surfactant administration in mechanically ventilated infants with respiratory distress syndrome (RDS) using electrical impedance tomography (EIT) measurements. MATERIALS AND METHODS A prospective study was conducted in a Neonatal Intensive Care Unit at a university hospital...

In this paper we consider a nonuniform unstability concept for evolution operators in Banach spaces. The relationship between this concept and the Perron condition is studied. Generalizations to the nonuniform case of some results of Van Minh, Räbiger and Schnaubelt are obtained. The theory we present here is applicable for general time varying linear equations in Banach spaces. 1. Evolution op...

Given complex numbers s0, . . . , sN , we present necessary and sufficient conditions for the existence of a function f analytic and bounded by one in modulus on the open unit disk which admits the nontangential boundary asymptotic expansion f (z) = s0 + s1(z − t0)+ · · · + sN (z − t0) + o((z − t0) ) at a given point t0 on the unit circle. This criterion can be considered as a boundary analog o...