in this paper, we discuss the geometric properties of solution and lower bound estimate of ∆um−1 of the cauchy problem for a degenerate parabolic equation with periodic source term ut =∆um+ upsint. our objective is to show that: (1)with continuous variation of time t, the surface ϕ = [u(x,t)]mδq is a complete riemannian manifold floating in space rn+1and is tangent to the space rn at ∂h0(t); (2...

in this paper, using the fixed point theory in cone metric spaces, we prove the existence of a unique solution to a first-order ordinary differential equation with periodic boundary conditions in banach spaces admitting the existence of a lower solution.

Typically, many of the modern buildings have concrete walls constructed from cinder block walls, that have periodic nature in their relative dielectric constant. This periodic nature excites higher-order Floquet harmonic modes at microwave frequencies, which leads to the propagation of scattered waves along with non-specular directions. Periodic structures exhibit different behaviors when illum...

introductiongeopolitics is a word that conjures up images. in one sense, the word provokes ideas of war, empire, and diplomacy: geopolitics is the practice of states controlling and competing for territory. geopolitics had a history before the term itself came in to use in 1899 by swede rudolf kjellen. it is apparent that many of great figures in the history of political thought, from the ancie...

Ultra-short pulse is a promising technology for achieving ultra-high data rate transmission which is required to follow the increased demand of data transport over an optical communication system. Therefore, the propagation of such type of pulses and the effects that it may suffer during its transmission through an optical waveguide has received a great deal of attention in the recent years. We...

Periodic noises are unwished and spurious signals that create repetitive pattern on images and decreased the visual quality. Firstly, this paper investigates various methods for reducing the effects of the periodic noise in digital images. Then an adaptive optimum notch filter is proposed. In the proposed method, the regions of noise frequencies are determined by analyzing the spectral of noisy...

background & objective:  periodic paralyses are a group of rare disorders that cause temporary episodes of muscle weakness or paralysis.  hypokalemic periodic paralysis usually is transmitted by an autosomal dominant trait with more penetration in men.  hypokalemic periodic paralysis may be secondary to thyrotoxicosis, hyperparathyroidism, drug  toxicity and potassium losing states. sporadic fo...

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where A1 = {x : 0 ≤ x < p, p f1(x)f2(x)} . In order to do this, Burgess found estimates for the inner summation over various subsets of A1 and then counted the number of m for which these subsets were non-empty. The counting process was carried out using different methods, one of which concerned the estimation of the cardinality of S = {m : 0 < mi ≤ h, f1(X) ≡ f2(X) (mod pμ)} . The estimation o...