The statement of Theorem 2.4 includes the assertion that the function J defined in Definition 2.3 has compact level sets. The proof, given on pages 318–319, is based on a circular argument and is incorrect. While μ in the last display on page 318 depends on r , the r appearing in the first display on page 319 depends on N , which, in turn, depends on μ. All the other assertions in Theorem 2.4 a...

Admissibility is a technical condition that ensures that the fixed point index of the flow is well-defined [Gor06]. Recall that a flow is admissible if and only if it is upper semicontinuous (i.e. if the limit of a convergent sequence of trajectories is a trajectory) and if there exists h > 0 such that, for any point x, the set of trajectory segments S(x,h) starting at x and defined on the time...

Recent studies have proposed structural summary techniques for pathquery evaluation on semi-structured data sources. One major line of this research has been the introduction of the DataGuide, 1-index, 2-index, and A(k) indices, and subsequent investigations and generalizations. Another recent study has considered structural characterizations of fragments of XPath, the standard path navigation ...

Previous fixed point indexes defined for a set-valued map in an infinite-dimensional space have required the values of this map to be convex sets. The corresponding assumption of this paper is that the values be (co-)acyclic sets, i.e., that the reduced Alexander cohomology group of each of these sets be trivial in each dimension. Other assumptions are that the space is locally convex and that ...

AIM For the purpose of cost modeling, the semi-parametric single-index two-part model was utilized in the paper. Furthermore, as functional gastrointestinal diseases which are well-known as common causes of illness among the society people in terms of both the number of patients and prevalence in a specific time interval, this research estimated the average cost of functional gastrointestinal d...

A general framework for the regularization of constrained PDEs, also called operator DAEs, is presented. The given procedure works for semi-explicit operator DAEs of first order which includes the Navier-Stokes and other flow equations. This reformulation is a regularization in the sense that a semi-discretization in space leads to a DAE of lower index, i.e., of differentiation index 1 instead ...

In this paper, an online receding robust predictive control scheme is proposed for inputconstrained semi-trailer system with delay and disturbance. The controller method meets the requirements of control constraint and, based on dual-mode control, the method is obtained by online optimization of performance index. The performance index is the cumulative sum of quadratic weighted value of minima...

The primary objective of this paper is to test informational efficiency of the A random walk test is performed for weak-form efficiency. In addition, day of the week effects are investigated to test semi-strong form efficiency. Empirical results verify that the İSE Composite Index is neither weak-form nor semi-strong form efficient although the nature and degree of inefficiency differ across pe...