Fredholm integral equation

См. также в других словарях:

• Fredholm integral equation — In mathematics, the Fredholm integral equation is an integral equation whose solution gives rise to Fredholm theory, the study of Fredholm kernels and Fredholm operators. The integral equation was studied by Ivar Fredholm. Equation of the first… …   Wikipedia

• Integral equation — In mathematics, an integral equation is an equation in which an unknown function appears under an integral sign. There is a close connection between differential and integral equations, and some problems may be formulated either way. See, for… …   Wikipedia

• Volterra integral equation — In mathematics, the Volterra integral equations are a special type of integral equations. They are divided into two groups referred to as the first and the second kind.A Volterra equation of the first kind is: f(x) = int a^x K(x,t),phi(t),dt. A… …   Wikipedia

• Fredholm theory — In mathematics, Fredholm theory is a theory of integral equations. In the narrowest sense, Fredholm theory concerns itself with the solution of the Fredholm integral equation. In a broader sense, the abstract structure of Fredholm s theory is… …   Wikipedia

• Fredholm alternative — In mathematics, the Fredholm alternative, name after Ivar Fredholm, is one of Fredholm s theorems and is a result in Fredholm theory. It may be expressed in several ways, as a theorem of linear algebra, a theorem of integral equations, or as a… …   Wikipedia

• Fredholm kernel — In mathematics, a Fredholm kernel is a certain type of a kernel on a Banach space, associated with nuclear operators on the Banach space. They are an abstraction of the idea of the Fredholm integral equation and the Fredholm operator, and are one …   Wikipedia

• Équation intégrale de Fredholm — En mathématiques, l équation intégrale de Fredholm est une équation intégrale étudiée par Ivar Fredholm. La caractéristique principale d une équation de Fredholm est que les bornes d intégration sont constantes. Son étude donne naissance à la… …   Wikipédia en Français

• Integral transform — In mathematics, an integral transform is any transform T of the following form:: (Tf)(u) = int {t 1}^{t 2} K(t, u), f(t), dt.The input of this transform is a function f , and the output is another function Tf . An integral transform is a… …   Wikipedia

• Fredholm, Ivar — ▪ Swedish mathematician in full  Erik Ivar Fredholm  born April 7, 1866, Stockholm, Sweden died August 17, 1927, Stockholm       Swedish mathematician who founded modern integral equation theory (integral equation).       Fredholm entered the… …   Universalium

• Fredholm operator — In mathematics, a Fredholm operator is an operator that arises in the Fredholm theory of integral equations. It is named in honour of Erik Ivar Fredholm. A Fredholm operator is a bounded linear operator between two Banach spaces whose range is… …   Wikipedia

• Equation integrale — Équation intégrale Une équation intégrale est une équation dont l une des indéterminées est une intégrale. Elles sont importantes dans plusieurs domaines physiques. Les équations de Maxwell sont probablement leurs plus célèbres représentants.… …   Wikipédia en Français