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...

The law of multiplicative error is presented for independent observations and correlated observations represented by the q-product, respectively. We obtain the standard log-normal distribution in the former case and the log-q-normal distribution in the latter case. Queirós’ q-log normal distribution is also reconsidered in the framework of the law of error. These results are presented with math...

We introduce the exact core and the biexact core of a strategic game form. Those are solutions which lie between the usual b-core and the set of strong equilibrium outcomes. We define the corresponding notion of exact and biexact stability. We prove that a game form is exactly stable if and only if it is exact, tight and subadditive and that it is biexactly stable if and only if in addition it ...

The existence and comparison theorem of solutions is first established for the quasimonotone delayed reaction-diffusion equations on R by appealing to the theory of abstract functional differential equations. The global asymptotic stability, Liapunov stability and uniqueness of traveling wave solutions are then proved by the elementary superand sub-solution comparison and squeezing methods. Sup...

Some people are more politically interested than others, but political scientists do not know how stable these differences are and why they occur. This paper examines stability in political interest. Eleven different panel surveys taken in four different countries over 40 years are used to measure stability. Several studies include a much larger number of interview waves—up to 23—than commonly ...

Despite the growing popularity of Lattice Boltzmann schemes for describing multi-dimensional flow and transport governed by non-linear (anisotropic) advectiondiffusion equations, there are very few analytical results on their stability, even for the isotropic linear equation. In this paper, the optimal two-relaxation-time (OTRT) model is defined, along with necessary and sufficient (easy to use...