integral equation of n-th kind

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• 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 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 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

• Integral — This article is about the concept of integrals in calculus. For the set of numbers, see integer. For other uses, see Integral (disambiguation). A definite integral of a function can be represented as the signed area of the region bounded by its… …   Wikipedia

• equation — /i kway zheuhn, sheuhn/, n. 1. the act of equating or making equal; equalization: the symbolic equation of darkness with death. 2. equally balanced state; equilibrium. 3. Math. an expression or a proposition, often algebraic, asserting the… …   Universalium

• Elliptic integral — In integral calculus, elliptic integrals originally arose in connection with the problem of giving the arc length of an ellipse. They were first studied by Giulio Fagnano and Leonhard Euler. Modern mathematics defines an elliptic integral as any… …   Wikipedia

• Diophantine equation — In mathematics, a Diophantine equation is an indeterminate polynomial equation that allows the variables to be integers only. Diophantine problems have fewer equations than unknown variables and involve finding integers that work correctly for… …   Wikipedia

• Green's function for the three-variable Laplace equation — The free space Green s function for the three variable Laplace equation is given in terms of the reciprocal distance between two points. That is to say the solution of the equation : abla^2 G(mathbf{x},mathbf{x }) = delta(mathbf{x} mathbf{x }) is …   Wikipedia

• Dirichlet problem — In mathematics, a Dirichlet problem is the problem of finding a function which solves a specified partial differential equation (PDE) in the interior of a given region that takes prescribed values on the boundary of the region. The Dirichlet… …   Wikipedia

• Liouville-Neumann series — In mathematics, the Liouville Neumann series is an infinite series that corresponds to the resolvent formalism technique of solving the Fredholm integral equations in Fredholm theory.DefinitionThe Liouville Neumann series is defined as:phileft(x… …   Wikipedia