Let G(OS) be a noncocompact irreducible arithmetic group over a global function field K of characteristic p, and let Γ be a finite-index, residually p-finite subgroup of G(OS). We show that the cohomology of Γ in the dimension of its associated Euclidean building with coefficients in the field of p elements is infinite. Let K be a global function field that contains the field with p elements, F...

For adaptation and mitigation planning, stakeholders need reliable information about regional precipitation changes under different emissions scenarios and for different time periods. A significant amount of current planning effort assumes that each K of global warming produces roughly the same regional climate change. Here using 25 climate models, we compare precipitation responses with three ...

results the k. pneumonia isolates were resistant to erythromycin (70%), cefixime (53.3%), tetracycline (50%) and ceftazidime (36.6%). the amplification of teta and tetb genes of k. pneumonia revealed that all of the isolates harbored these genes. conclusions resistance to tetracycline and other antibiotics, and the presence of various resistance genes in k. pneumonia strains are alarming signs ...

We study the global asymptotic behavior of the positive solutions of the system of rational difference equations xn+1 = f (xn, yn−k), yn+1 = f (yn,xn−k), n = 0,1,2, . . . , under appropriate assumptions, where k ∈ {1,2, . . .} and the initial values x−k,x−k+1, . . . ,x0, y−k, y−k+1, . . . , y0 ∈ (0,+∞). We give sufficient conditions under which every positive solution of this equation converges...

wt t (t, x)− K (‖wx (t, ·)‖ β Lr (R))a(wx (t, x))wxx (t, x) = 0, (2) w(0, x) = 8(x), wt (0, x) = 9(x), where K is an arbitrary function, sufficiently smooth and taking only positive values; and a = a(s) behaves like |s|p−2 near s = 0. The detailed assumptions on K , r , β, and a are given in (3), (4) and Condition 1 below. For K = K (s) = c1 + c2s (c1, c2 > 0) and p = r = β = 2, we get the famo...

Let be a distribution solution of the two-scale diierence equation (1). First the equivalence of local and global linear independence of the integer translates of is proved and a simple characterization for global linear independence of the integer translates of is given. Second a class of functions in V 1 such that their integer translates are locally or globally linearly independent is found....

The problem of global exponential stabilization by boundary feedback for the Korteweg-de Vries-Burgers equation on the domain [0, 1] is considered. We derive a control law of the form u(0) = ux(1) = uxx(1) − k[u(1)3 + u(1)] = 0, where k is a sufficiently large positive constant, and prove that it guarantees L2-global exponential stability, H3-global asymptotic stability, and H3-semiglobal expon...

In [] Rammaha and Sakuntasathien studied the global well posedness of the solution of problem (.). Agre and Rammaha [] studied the global existence and the blow up of the solution of problem (.) for k = l = θ = = , and also Alves et al. [] investigated the existence, uniform decay rates and blow up of the solution to systems. After that, the blow up result was improved by Houari []. Al...