Results 11 to 20 of about 1,317,953 (283)
An Integral Equation Involving Legendre Functions [PDF]
, 1964 Rodrigues’s formula can be applied also to (1.1) and (1.3) but here the situation is slightly more involved in that the integrals with respect to σ^2 are of fractional order and their inversion requires the knowledge of differentiation and integration of
Erdélyi, A.
core +1 more source
Markovian integral equations [PDF]
Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 2020 We analyze multidimensional Markovian integral equations that are formulated with a time-inhomogeneous progressive Markov process that has Borel measurable transition probabilities. In the case of a path-dependent diffusion process, the solutions to these integral equations lead to the concept of mild solutions to semilinear parabolic path-dependent ...
openaire +5 more sources
Numerical solution of the color superconductivity gap in a weak coupling constant [PDF]
, 2002 We present the numerical solution of the full gap equation in a weak coupling constant $g$. It is found that the standard approximations to derive the gap equation to the leading order of coupling constant are essential for a secure numerical evaluation ...
B. Barrois +14 more
core +2 more sources
Solving a nonhomogeneous integral equation with the variable lower limit
Қарағанды университетінің хабаршысы. Математика сериясы, 2019 An nonhomogeneous integral equation with a singular kernel is considered. A feature of the equation under study is the incompressibility of the integral operator.
M.T. Kosmakova +3 more
doaj +1 more source
A Multilevel Iteration Method for Solving a Coupled Integral Equation Model in Image Restoration
Mathematics, 2020 The problem of out-of-focus image restoration can be modeled as an ill-posed integral equation, which can be regularized as a second kind of equation using the Tikhonov method.
Hongqi Yang, Bing Zhou
doaj +1 more source
Application of DRBEM for 2D sine-Gordon equation
Journal of Taibah University for Science, 2021 This research paper introduces an application of dual reciprocity boundary element method (DRBEM) for the solution of sine-Gordon equation (SGE) in two-space dimension. Initially, the time derivatives are expanded using central difference schemes.
Nagehan Alsoy-Akgün
doaj +1 more source
Path Integral for the Dirac Equation [PDF]
, 1998 A c-number path integral representation is constructed for the solution of the Dirac equation. The integration is over the real trajectories in the continuous three-space and other two canonical pairs of compact variables controlling the spin and the ...
Polonyi, Janos
core +4 more sources
On a pseudo-Volterra nonhomogeneous integral equation
Қарағанды университетінің хабаршысы. Математика сериясы, 2019 In this paper the issues of the solvability of a pseudo-Volterra nonhomogeneous integral equation of the second kind are studied. The solution to the corresponding homogeneous equation and the classes of the uniqueness of the solution are found in [1 ...
M.T. Kosmakova +3 more
doaj +1 more source
An integral equation method for a boundary value problem arising in unsteady water wave problems [PDF]
, 2008 In this paper we consider the 2D Dirichlet boundary value problem for Laplace’s equation in a non-locally perturbed half-plane, with data in the space of bounded and continuous functions.
Chamberlain, P. G +2 more
core +1 more source