In this paper, we use Petrov-Galerkin elements such as continuous and discontinuous Lagrange-type k-0 elements and Hermite-type 3-1 elements to find an approximate solution for linear Fredholm integro-differential equations on $[0,1]$. Also we show the efficiency of this method by some numerical examples  

introduction: intensified agriculture over a long-term is an important factor in soil change phenomena that can cause some unwanted effects on soil properties. to examine this hypothesis, chemical properties of the soils under sunflower cultivation over five decades and adjoining virgin lands were investigated in order to monitor changes caused by long-term cropping. the studied soils are influ...

We prove that for each natural number k, KG(2k+1, k) is b-continuous. Then, we introduce some special conditions for graphs to be b-continuous.

We study continuous K nearest neighbor queries over moving objects. LUCK stands for Lazy Update algorithm for processing Continuous K-nearest neighbor queries.

Let T : K → H be a nonlinear mapping from a nonempty closed invex subset K of an infinite-dimensional Hilbert space H into H . Let f : K → R be proper, invex, and lower semicontinuous on K and let h : K → R be continuously Fréchet-differentiable on K with h′, the gradient of h, (η,α)-strongly monotone, and (η,β)-Lipschitz continuous on K . Suppose that there exist an x∗ ∈ K , and numbers a > 0,...

this paper deals with continuous frames and continuous riesz bases. we introduce continuous riesz bases and give some equivalent conditions for a continuous frame to be a continuous riesz basis. it is certainly possible for a continuous frame to have only one dual. such a continuous frame is called a riesz-type frame [13]. we show that a continuous frame is riesz-type if and only if it is a con...

We investigate the notion of K-triviality for closed sets and continuous functions in 2N. For every K-trivial degreee d, there exists a closed set of degree d and a continuous function of degree d. Every K-trivial closed set contains a K-trivial real. There exists a K-trivial Π1 class with no computable elements. A closed set is K-trivial if and only if it is the set of zeroes of some K-trivial...

where φp(s)=|s|p−2s, p > 1, ∆u(k− 1)=u(k)−u(k−1), T∈{1,2, . . .}, N+={0,1, . . . ,T}, and u :N+ →R. Throughout this paper, we will assume f :N × (0,∞)→R is continuous. As a result, our nonlinearity f (k,u) may be singular at u= 0 and may change sign. Remark 1.1. Recall a map f :N × (0,∞)→R is continuous if it is continuous as a map of the topological space N × (0,∞) into the topological space R...

background klebsiella pneumoniae is a family member of enterobacteriaceae. isolates of k. pneumoniae produce enzymes that cause decomposition of third generation cephalosporins. these enzymes are known as extended-spectrum beta-lactamase (esbl). resistance of k. pneumoniae to beta-lactamase antibiotics is commonly mediated by beta-lactamase genes. objectives the aim of this study was to identif...