We rigorously prove results on spiky patterns for the Gierer-Meinhardt system [5] with a large number of jump discontinuities in the diffusion coefficient of the inhibitor. Using numerical computations in combination with a Turing-type instability analysis, this system has been investigated by Benson, Maini and Sherratt [1], [3], [9]. We first review results on the case of two segments given in...

The purpose of this study was to analyze the effect depth jump rimp dan box exercise method on shoot result, difference between influence limbs are long and short against results interaction methods length legs shoot. This research uses experimental with a 2 x factorial design. population in atlet basket University Tadulako 30 people. Technique data analysis using SPSS program 20.0. there is ri...

where a is the speed of sound, p is the density, _ is the potential, and the subscripts denote partial deriva-The nonuniqueness problem occurring at transonic tives. In the absence of shock waves, both forms of the speeds with the conservative potential equation is in-equation are equivalent. When shock waves are present, vestigated numerically. Evidence is given supporting use of the conservat...

We present and analyse two implicit methods for Ito stochastic differential equations (SDEs) with Poisson-driven jumps. The first method, SSBE, is a split-step extension of the backward Euler method. The second method, CSSBE, arises from the introduction of a compensated, martingale, form of the Poisson process. We show that both methods are amenable to rigorous analysis when a one-sided Lipsch...

We consider the 1D nonlinear Schrödinger equation (NLS) with focusing point nonlinearity, (0.1) i∂tψ + ∂ 2 xψ + δ|ψ|p−1ψ = 0, where δ = δ(x) is the delta function supported at the origin. In the L supercritical setting p > 3, we construct self-similar blow-up solutions belonging to the energy space Lx ∩Ḣ x. This is reduced to finding outgoing solutions of a certain stationary profile equation. ...

In this work, we are interested in a boundary value problem (BVP) generated by Klein -Gordon equation (KG) with Jump conditions and condition. First, introduce scattering solutions Jost solution of the problem. Then, give function prove some properties it. Lastly, conclude paper special example.

A model for a set of stock prices is said to be convexity preserving if the price of any convex European claim is convex as a function of the underlying stock prices at all times prior to maturity. As is well-known, this property is intimately connected to certain monotonicity properties of the option price with respect to volatility and other parameters of the model. Generally speaking, if the...

Using appropriate devices and scientific methods by coaches and trainers can accelerate the process of sport talent identification and development, and could also provide condition in which capable athletes to be directed in to suitable sport according to their abilities and skills. Former researches in scope of sport talent identification usually have been done in order to determine or normali...