K e y w o r d s N o n h o m o g e n e o u s boundary value problem, Monotone iterative technique, Lower solution, Upper solution, Impulsive differential equations with delay. 1. I N T R O D U C T I O N We are concerned w i t h the fol lowing n o n h o m o g e n e o u s b o u n d a r y va lue p r o b l e m for a f i r s t -order impuls ive dif ferent ia l equa t i on w i t h delay in R, x' (t) =...

among the six classes of pro-2-groups of finite and fixed co-classes and trivial schur multiplicator which studied by abdolzadeh and eick in 2009, there are two classes $$s_5=langle a,bmid [b,a^2]=1, a^2=[b,a]^2, (b^2)^{[b,a]}b^2=1rangle$$ and $$s_6=langle a,t,bmid a^2=b^2,[b,a]^2=1, t^a=t^{-1}[b,a], b^t=abarangle$$that have been conjectured to have deficiency zero presentations. in this paper ...

parkinson’s disease (pd) is a rather common movement disorder as a result of the degeneration of dopaminergic neurons within the substantianigra. current treatments for pd afford symptomatic relief with no prevention of disease progression. due to the neuroprotective and anti-apoptotic potential of the isoquinoline alkaloid berberine (bbr), this study was conducted to assess whether bbr pretrea...

the gravity method is one of the first geophysical techniques used in oil and gas exploration. an algorithm is developed for a fast quantitative interpretation of gravity data generated by geometrically simple but also the estimated depths and other model parameters of a buried structure. following abdelrahman et al (1989). the general gravity anomaly expression produced by a sphere, an infinit...

We consider the following stochastic partial differential equation on t≥0,x∈[0,J],J≥1, where we [0,J] to be circle with end points identified, ∂tu(t,x)=1 2∂x2u(t,x)+g(t,x,u)+σ(t,x,u)W˙(t,x), W˙(t,x) is 2-parameter d-dimensional vector valued white noise and σ function from R+×R×Rd space of symmetric d×d matrices which Lipschitz in u. assume that uniformly elliptic g bounded. Assuming u(0,x)≡0, ...

K Kedlaya proposed an method to count the number of Fq rational points in a hyper elliptic curve using the Leschetz xed points formula in Monsky Washinitzer Cohomology The method has been extended to super elliptic curves Gaudry and G urel immediately to characteristic two hyper elliptic curves and to Cab curves J Denef F Vercauteren Based on Miura theory which is associated with how a curve is...

Let X be a smooth projective curve of genus g ≥ 2 and S(r, d) the moduli scheme of all rank r stable vector bundles of degree d on X. Fix an integer k with 0 < k < r. H. Lange introduced a natural stratification of S(r, d) using the degree of a rank k subbundle of any E ∈ S(r, d) with maximal degree. Every non-dense stratum, say W (k, r − k, a, d − a), has in a natural way a fiber structure h :...

R E S U L T S A N D D I S C U S S I O N . . . . . . . . . . 3 8 4 O b s e r v a t i o n s o n t i s s u e s . . . . . . . . . . 3 8 4 E x a m i n a t i o n of K a u f m a n n a n d L e h m a n n ' s r e s u l t s . . . . . . 3 8 4 (a) G e n e r a l c o n s i d e r a t i o n s . . . . . . . . 3 8 4 (6) B l u e s t a i n i n g m i x t u r e s c o n t a i n i n g t r i o l e i n . . . . . . . 3 8 ...

A d-space X = (X, %, μ) is a compact set X with respect to a quasi-metric % and a Borel measure μ such that the measure of a ball of radius r is equivalent to r, where d > 0. The paper deals with spaces B p(X;H) of Besov type where 1 < p < ∞ and s ∈ R. Here H is a bi-Lipschitzian map of the snowflaked version (X, %, μ) of X for some 0 < ε < 1, onto a fractal d/ε-set Γ = HX in some R, reducing t...

in this paper, we characterize multiresolution analysis(mra) parseval frame multiwavelets in l^2(r^d) with matrix dilations of the form (d f )(x) = sqrt{2}f (ax), where a is an arbitrary expanding dtimes d matrix with integer coefficients, such that |deta| =2. we study a class of generalized low pass matrix filters that allow us to define (and construct) the subclass of mra tight frame multiwav...