for fr$acute{mathbf{text{e}}}$chet algebras $(a, (p_n))$ and $(b, (q_n))$, a linear map $t:arightarrow b$ is textit{almost multiplicative} with respect to $(p_n)$ and $(q_n)$, if there exists $varepsilongeq 0$ such that $q_n(tab - ta tb)leq varepsilon p_n(a) p_n(b),$ for all $n in mathbb{n}$, $a, b in a$, and it is called textit{weakly almost multiplicative} with respect to $(p_n)$ and $(q_n)$,...

for fr$acute{mathbf{text{e}}}$chet algebras $(a, (p_n))$ and $(b, (q_n))$, a linear map $t:arightarrow b$ is textit{almost multiplicative} with respect to $(p_n)$ and $(q_n)$, if there exists $varepsilongeq 0$ such that $q_n(tab - ta tb)leq varepsilon p_n(a) p_n(b),$ for all $n in mathbb{n}$, $a, b in a$, and it is called textit{weakly almost multiplicative} with respect to $(p_n)$ and $(q_n)$,...

Marine controlled source electromagnetic (MCSEM) surveys have become an important part of offshore petroleum exploration. In this paper we present a new approach to 3-D inversion of MCSEM data. It is based on rigorous integral equation (IE) forward modeling and a new IE representation of the sensitivity (Frechet derivative matrix) of observed data to variations in sea-bottom conductivity. This ...

In 1996, Ricardo Ricardo Mañé discovered that Mather measures are in fact the minimizers of a ”universal” infinite dimensional linear programming problem. This fundamental result has many applications, one of the most important is to the estimates of the generic number of Mather measures. Mañé obtained the first estimation of that sort by using finite dimensional approximations. Recently, we we...

We provide a tractable theory of innovation and diffusion of technologies to explore the role of international trade and foreign direct investment (FDI). We model innovation and diffusion as a process involving the combination of new ideas with insights from other industries or countries. We provide conditions under which each country’s equilibrium frontier of knowledge converges to a Frechet d...

We study a simple model of the world economy where the engine of growth is the flows of ideas. Ideas are assumed to diffuse randomly across pair of goods, where the processes used in the production of the lower cost good is adopted. We assume that producers in a country can learn from all sellers of goods to this country. We analyze how trade in goods, and impediments to it, affect this diffusi...

The recently developed theory1 of monotone nonlinear operators T from a Banach space X to its conjugate space X* can be considered most naturally as an extension to nonvariational problems of the basic ideas of the direct method of the calculus of variations. First of all, in practice, its simplest and most basic application is to a class of nonlinear elliptic boundary value problems2 which is ...

In this study, we provide suucient conditions for controllingthe residuals of perturbed Newton-like methods, in such a way that the convergence of such methods is ensured. In order to achieve this, we apply a theorem due to Kantorovich on a setting of a regular space with a convergence structure. In this study, we are concerned with approximating a solution x of the nonlinear operator equation ...

The article is devoted to the issue of creating a mathematical model problem making management decisions in electric power facilities based on modern intelligent technologies, which makes it possible take into account influence various factors operating modes system. A systematic approach describing processes language theory fuzzy sets proposed. To solve controlling system, neurofuzzy network h...