How to stay married by J illy Cooper Methuen, 12s. 6d. With a new divorce Act on the statute book and the inevitable actual increase in recorded divorces that will follow such legislation, Marital stability will remain in the

A relation between coprlme fractions and the gap metric is presented. USlng this result we provlde some sufficient condi Hons for BIBO robust stabll1za tion for a very wlde class of systems. These conditions allow the plant and compensator to be disturbed simutaneously. K.e.Y words: Robust stabllization; Gap metric; Coprime fraction.

We distinguish between two types of grasp stability, which we call spatial grasp stability and contact grasp stability. We show via examples that spatial stability cannot capture certain intuitive concepts of grasp stability and hence that any full understanding of grasp stability must include contact stability. We derive a model of how the positions of the points of contact evolve in time on t...

in this paper, a new stage structured prey-predator model with linear functional response is proposed and studied. the stages for prey have been considered. the proposed mathematical model consists of three nonlinear ordinary differential equations to describe the interaction among juvenile prey, adult prey and predator populations. the model is analyzed by using linear stability analysis to ob...

In this paper, we establish the Pexiderized stability of coboundaries and cocycles and use them to investigate the Hyers–Ulam stability of some functional equations. We prove that for each Banach algebra A, Banach A-bimodule X and positive integer n, H n (A, X) = 0 if and only if the n-th cohomology group approximately vanishes.

A polytope in R is said to be stable on a facet if and only if the perpendicular to that facet through the center of gravity meets the facet itself. One may consider the stability of a body with respect to an arbitrary "center of gravity on the interior of the body [1,3,6], or one may take the center of gravity to be determined by the shape of the body itself. Most typically, the center of grav...

We consider the action of the 2-dimensional projective general linear group PGL(2, q) on the projective line PG(1, q). A subset S of PGL(2, q) is said to be an intersecting family if for every g1, g2 ∈ S, there exists α ∈ PG(1, q) such that αg1 = αg2 . It was proved by Meagher and Spiga that the intersecting families of maximum size in PGL(2, q) are precisely the cosets of point stabilizers. We...

Control laws' design strategies are developed to stabilize a class of BIBO integro-differential systems with two distributed delays by using an extended system.

Small and Medium sized Enterprises (SMEs) make a major contribution to most western economies. They are often supported by government policies and in UK the government encourages banks to lend to them. It is generally believed that the credit crunch will have had an impact on performance of SMEs. This study looks at the impact of the crunch using large samples from 2007 through to 2010. It look...