Integral Equation Formulation of the Biharmonic Dirichlet Problem
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DOI: 10.1007/s10915-017-0559-8
Abstract: We present a novel integral representation for the biharmonic Dirichlet problem. To obtain the representation, the Dirichlet problem is first converted into a related Stokes problem for which the Sherman–Lauricella integral representation can be used.… read more here.
Keywords: dirichlet problem; problem; integral representation; biharmonic dirichlet ... See more keywords
Integral representation of balayage on locally compact spaces and its application
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DOI: 10.1007/s13324-024-01007-9
Abstract: In the theory of inner and outer balayage of positive Radon measures on a locally compact space X to arbitrary A⊂X\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$A\subset X$$\end{document} with respect to suitable,… read more here.
Keywords: balayage; locally compact; integral representation; representation balayage ... See more keywords
Integral representation of product factorable bilinear operators and summability of bilinear maps on C(K)-spaces
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.123629
Abstract: Abstract We present a constructive technique to represent classes of bilinear operators that allow a factorization through a bilinear product, providing a general version of the well-known characterization of integral bilinear forms as elements of… read more here.
Keywords: integral representation; bilinear maps; representation product; product ... See more keywords
An integral representation for the product of parabolic cylinder functions
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DOI: 10.1080/10652469.2016.1247837
Abstract: ABSTRACT This paper uses the convolution theorem of the Laplace transform to derive an inverse Laplace transform for the product of two parabolic cylinder functions in which the orders as well as the arguments differ.… read more here.
Keywords: cylinder functions; product; parabolic cylinder; integral representation ... See more keywords
Iterated Integral Representation of the Characteristic Function of Time-Delay Systems With Spectral Values of Maximal Multiplicity
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DOI: 10.1109/lcsys.2025.3577075
Abstract: Motivated by recently obtained factorizations of characteristic functions of some classes of time-delay systems admitting a root with the largest possible multiplicity in terms of Kummer confluent hypergeometric functions, this letter provides a new representation… read more here.
Keywords: delay systems; iterated integral; representation; integral representation ... See more keywords
Complete Uniform Asymptotic Expansion of Finite-Range Integral Representation of Dyadic Green’s Function for Ordinary Dielectric Half-Space
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DOI: 10.1109/tap.2023.3342936
Abstract: The dyadic Green’s function (DGF) is expressed in terms of a double integral whose integrand contains the spatial derivatives of the Sommerfeld integral (SI) of the impedance plane when an electric dipole and observation point… read more here.
Keywords: complete uniform; double integral; green function; integral representation ... See more keywords
A Beukers type Integral Representation for several types of Multiple Polylogarithms
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DOI: 10.1142/s1793042126500417
Abstract: We give connections between various types of multiple polylogarithms and Beukers type integrals. First, we provide an integral representation of interpolated Schur multiple polylogarithms of ribbon type using Beukers type integrals. As an application of… read more here.
Keywords: types multiple; polylogarithms; integral representation; beukers type ... See more keywords