For a class of linear autonomous delay differential equations with parameter α we give upper bounds for the integral ∞ 0 |X (t, α)| dt of the fundamental solution X (·, α). The asymptotic estimations are sharp at a critical value α0 where x = 0 loses stability. We use these results to study the stability properties of perturbed equations.

In this paper, we show that there is no negative upper bound for the sectional curvature of Teichmüller space of Riemann surfaces with the Weil–Petersson metric. Mathematics Subject Classifications (2000). 32G15, 53C21, 30F60.

BrMedj 1989;298:1671-3 Abstract Objective-To measure the safety and efficacy of antenatal treatment with anti-D immunoglobulin. Design-Open study with historical controls. Setting-Multicentre study in 17 hospitals in West Yorkshire. Patients-1238 Rh negative women who delivered Rh positive infants after 34 weeks in their first pregnancy in 1980-1 (group 1) and 2000 similar primigravidas from 19...

BACKGROUND Pregnant women who travel to malarious areas and their clinicians need data on the safety of malaria chemoprophylaxis. METHODS The effect of exposure to mefloquine on pregnancy and offspring outcomes was evaluated using the F. Hoffmann-La Roche global drug safety database for the time frame 31 January 1986 through 26 October 2010. We investigated pregnancy and fetal outcomes in mat...

A large financial market is described by a sequence of standard general models of continuous trading. It turns out that the absence of asymptotic arbitrage of the first kind is equivalent to the contiguity of sequence of objective probabilities with respect to the sequence of upper envelopes of equivalent martingale measures, while absence of asymptotic arbitrage of the second kind is equivalen...

We investigate default probabilities and default correlations of Merton-type credit portfolio models in stress scenarios where a common risk factor is truncated. For elliptically distributed asset variables, the asymptotic limits of default probabilities and default correlations depend on the max-domain of attraction of the asset variables. In the regularly varying case, we derive an integral r...

Studying Pukanszky's type III factor, M2, we show that it does not have the property of asymptotic abelianness and discuss how this property is related to property L. We also prove that there are no asymptotic abelian II factors. The extension (by ampliation) of central sequences in a finite factor, N, to M ® N is shown to be central. Also, we give two examples of the reduction (by equivalence)...

One important aspect of digital citizenship, defined as “the norms of appropriate, responsible behavior with regard to technology use,” is to reinforce ethical online behavior and discourage risky conduct. The purpose of this study was to examine the effects of parental involvement and socioeconomic status on teens digital citizenship, which includes: digital access, digital etiquette, and digi...

BACKGROUND There is a lack of basic knowledge on the part of both clinicians and patients as to the indications for use and the safety of herbs used by women during pregnancy and lactation. This is one article in a series that systematically reviews the evidence for herbs commonly used during pregnancy and lactation. OBJECTIVES To systematically review the literature for evidence on the use, ...