The notions of equivalence and strict equivalence for order one differential equations of the form f(y 0 , y,z) = 0 are introduced. The more explicit notion of strict equivalence is applied to examples and questions concerning autonomous equations and equations having the Painleve property. The ´ or[r]
VIPrefaceunderstanding and subsequent improvement of the processes in question. Thesecond is to solve simplified versions of fluid dynamics equations for conservationof mass, momentum and energy for comparatively simple boundary conditions.There is great advantage in combining b[r]
Figure 5. (Top) tisothe linear equations. The height of each bar in the histogram indicates the number of initial statesfor which the evolution yielded values in the corresponding bin. The total number of initial statesis more than 800. We see both that holographic isotro[r]
The extended finite element method (XFEM), also known as generalized finite element method (GFEM) or partition of unity method (PUM) is a numerical technique that extends the classical finite element method (FEM) approach by extending the solution space for solutions to differential equations with d[r]
Abstract. Let Pk be the graded polynomial algebra F2x1, x2, . . . , xk, with the degree of each xi being 1, regarded as a module over the mod2 Steenrod algebra A, and let GLk be the general linear group over the prime field F2. We study the algebraic transfer constructed by Singer 20, using the tech[r]
The main objective of the present note is to study positive solutions of the following interesting system of integral equations in Rn u(x) = Z Rn |x − y| p v(y) −q dy, v(x) = Z Rn |x − y| pu(y) −q dy, (0.1) with p, q > 0 and n > 1. Under the nonnegative Lebesgue measurability condition for[r]
... the free- standing AgNPs -PMMA films were peeled off and collected The thickness of the AgNPs -PMMA films was measured using micrometer caliper and found to be 100 μm The free- standing AuNPs -PMMA. .. and the nonlinear optical properties of two kinds of flexible free standing films have been in[r]
SVMs are currently of great interest to theoretical researchers and applied scientists. By means of the new technology of kernel methods, SVMs have been very successful in building highly nonlinear classifiers. SVMs have also been successful in dealing with situations in which there are many mor[r]
Offering an uptodate account of the strategies utilized in state estimation of electric power systems, this text provides a broad overview of power system operation and the role of state estimation in overall energy management. It uses an abundance of examples, models, tables, and guidelines to clea[r]
We establish formulas for computingestimating the Fr´echet and Mordukhovich coderivatives of implicit multifunctions defined by generalized equations in Asplund spaces. These formulas are applied to obtain conditions for solution stability of parametric variational systems over perturbed smoothbound[r]
This paper deals with the problem of global exponential stabilization for a class of nonautonomous cellular neural networks with timevarying delays. The system under consideration is subject to timevarying coefficients and timevaying delays. Two cases of timevarying delays are considered: (i) the de[r]
In this paper we propose and analyze three parallel hybrid extragradient methods for finding a common element of the set of solutions of equilibrium problems involving pseudomonotone bifunctions {fi(x, y)}N i=1 and the set of fixed points of nonexpansive mappings {Sj}M j=1 in a real Hilbert space. B[r]
Abstract. We give some sufficient conditions on complex polynomials P and Q to assure that the algebraic plane curve P(x) − Q(y) = 0 has no irreducible component of genus 0 or 1. Moreover, if deg (P) = deg (Q) and if both P, Q satisfy Hypothesis I introduced by H. Fujimoto, our sufficient conditions[r]
The Two-body ProblemThe two-body problem—determining the motion of two bodies orbiting one another under theirmutual gravitational attraction—is perhaps the best-known problem in gravitational dynamics.Here we show how it can be reduced to an equivalent one-body problem and then solved as asp[r]