Abstract:
We consider two problems from stability theory of matrix polytopes: the existence of common quadratic Lyapunov functions and the existence of a stable member. We show the applicability of the gradient algorithm and give a new sufficient condition for the second problem. A number of examples are considered.

Abstract:
Asymptotic stability of linear systems is closely related to Hurwitz stability of the system matrices. For uncertain linear systems we consider stability problem through common quadratic Lyapunov functions (CQLF) and problem of stabilization by linear feedback.

Abstract:
Recently there is huge interest in graph theory and intensive study on computing integer powers of matrices. In this paper, we investigate relationships between one type of graph and well-known Fibonacci sequence. In this content, we consider the adjacency matrix of one type of graph with 2k (k=1,2,...) vertices. It is also known that for any positive integer r, the (i,j)th entry of A^{r} (A is the adjacency matrix of the graph) is just the number of walks from vertex i to vertex j, that use exactly k edges.

Abstract:
The title compound, C25H26N2Te, was synthesized from bis[1,3-bis(3-phenylpropyl)benzimidazolidin-2-ylidene] and Te in a toluene solution. The molecule possesses a twofold rotation axis passing through the Te atom and the center of the benzimidazole ring system. The benzimidazole ring system makes an angle of 67.9 (4)° with the phenyl rings.

This study includes a research on the impacts of core employees on the
perceived performances of Small and Medium Sized Enterprises (SME’s).
Employees, who are working at manufacturing department or basic function, were
taken as core employees in the frame of the research. This research was
conducted at the Middle and Eastern Black Sea region of Turkey; at 60 SME’s.
The research was realised on the bases of the resource-based view of the firm;
the relation between the characteristics of core employees as rareness,
hardness to imitation and the perceived performances of SME’s were given. This
study contributes to the literature for its regional focus to the topic and for
the presentation of how SME’s perceive organizational performance as
dimensional context. The results of the research didn’t support the hypothesis
which claims that there is a positive relationship between the expertises of
core employees, whose superior characteristics are specific to firms and the
organizational performance.

Abstract:
We know from the classical sequence spaces theory that there is a useful relationship between continuous and -duals of a scalar-valued FK-space originated by the AK-property. Our main interest in this work is to expose relationships between the operator space and and the generalized -duals of some -valued AK-space where and are Banach spaces and . Further, by these results, we obtain the generalized -duals of some vector-valued Orlicz sequence spaces. 1. Introduction The idea of dual sequence space was introduced by K？the and Toeplitz [1]. Then, Maddox, [2], generalized this notion to -valued sequence classes where is a Banach space. This brings an important contribution to the operator matrix transformation of Banach space-valued sequence spaces. Remember that - and -duals of a (complex-valued) sequence space , denoted by and , respectively, are defined to be where is the space of all complex-valued sequences. The in the classical definitions of K？the-Toeplitz duals is replaced by a sequence of linear operators, not necessarily continuous, from into another Banach space . Thus, if is a nonempty set of sequences with , then generalized - and -duals of are defined to be respectively. It is clear that this notion depends on the space and if , then where is the space of all linear operators from into . Without the loss of generality we can restrict ourselves in this work to continuous operators and being the space of all continuous linear operators from into and being the space of all -valued sequences which is a natural generalization of . We know from the classical sequence spaces theory that there is a useful relationship between continuous and -duals of a sequence space whenever it has the AK-property. Related results are also expressed in [3, page 176]. Here, we are going to show that there is an analogue relationship for -valued sequence spaces in the context of generalized -duals with respect to another fixed Banach space . Further, by applying this result, we obtain generalized -duals of some vector-valued Orlicz sequence spaces. We think that our results give a fruitful way to find generalized duals of this kind of vector-valued sequence spaces. 2. Prerequisites We use the notations , and for the sets of all positive integers, complex numbers, and real numbers, respectively. For some locally convex (lc, for short) space denotes the continuous dual of and we denote by and the closed unit ball and the sphere of some normed space , respectively. An FH-space is an lc Fréchet space such that is a vector subspace of a Hausdorff topological vector space

Abstract:
We model the competition between a proprietary firm and an open source
rival, by incorporating the nature of the GPL, investment opportunities by the
proprietary firm, user-developers who can invest in the open source
development, and a ladder type technology. We use a two-period dynamic mixed
duopoly model, in which a profit-maximizing proprietary firm competes with a
rival, the open source firm, which prices the product at zero, with the quality
levels determining their relative positions over time. We analyze how the
existence of open source firm affects the investment and the pricing behavior
of the proprietary firm. We also study the welfare implications of the
existence of the open source rival. We find that, under some conditions, the
existence of an open source rival may decrease the total welfare.

Abstract:
This paper aims to analyse the relation between exporting behaviour of the firms and productivity by testing for learning by exporting hypothesis in Turkish manufacturing industry. Moreover, this study examines whether exporting and productivity relations change with respect to the orientation of industry in which the firm operates. We use the data on the largest 1000 industrial enterprises of Turkey from 1997 to 2007. The results based on unbalanced dynamic panel data models estimated show that there is no evidence that exporting fosters productivity at the firm level in Turkish manufacturing industry. Disaggregation of industries with respect to their orientations does not change this result. Exporting, or increase in the exports of the firm, doesn’t seem to be one of the sources of productivity growth at least for the firms already exporting in Turkish manufacturing.

Abstract:
A weighted graph is a graph that has a numeric label associated with each edge, called the weight of edge. In many applications, the edge weights are usually represented by nonnegative integers or square matrices. The weighted signless Laplacian matrix of a weighted graph is defined as the sum of adjacency matrix and degree matrix of same weighted graph. In this paper, a brief overview of the notation and concepts of weighted graphs that will be used throughout this study is given. In Section 2, the weighted signless Laplacian matrix of simple connected weighted graphs is considered, some upper bounds for the spectral radius of the weighted signless Laplacian matrix are obtained and some results on weighted and unweighted graphs are found.

Abstract:
Objectives: In this study, we aimed to investigate the association of cancer with vasculitis and the frequency of cancer-related paraneoplastic syndromes and their relationship by measuring blood levels of Perinuclear type Anti-Neutrophilic Cytoplasmic Antibody (p-ANCA) and Cytoplasmic type antineutrophil cytoplasmic antibodies (c-ANCA) in patients with lung cancer and asthma and in healthy individuals.Materials and methods: 20 patients diagnosed with asthma, 26 patients following up with a diagnosis of lung cancer and control group of 20 healthy individuals were enrolled in this study. ANCA levels were measured in blood samples.Results: Borderline positive c-ANCA detected in 1 of 26 patients and 1/32 percent were positive detected in one patient. Borderline positive p-ANCA detected in 1 of 26 patients and 1/32 percent were positive detected in 1 patient. p-ANCA was positive detected in 2/20 of asthmatic patient and c-ANCA was borderline positive detected in 1/20 asthma patient. In asthma and cancer patients, physical examinations and pathological findings did not support the vasculitis. Only one subject in the control group was found to be borderline positive for c-ANCA.Conclusion: As a result, in some of the patients the positivity of ANCA was detected not related with vasculitis and paraneoplastic findings. Because of this, vasculitis should be considered in differential diagnosis of the patients whom considered as malignancy. J Clin Exp Invest 2011; 2 (4): 384-387Key words: p-ANCA, c-ANCA, paraneoplastic syndrome, lung cancer