Results 1 to 10 of about 10,334 (309)

On an Integral Equation with the Riemann Function Kernel

Axioms, 2022
This paper is concerned with a study of a special integral equation. This integral equation arises in many applied problems, including transmutation theory, inverse scattering problems, the solution of singular Sturm–Liouville and Shrödinger equations ...
Sergei Sitnik, Abdul Ahad Arian
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SOLUTION OF A TWO-DIMENSIONAL BOUNDARY VALUE PROBLEM OF HEAT CONDUCTION IN A DEGENERATING DOMAIN

Вестник КазНУ. Серия математика, механика, информатика, 2021
In the paper we consider the boundary value problem of heat conduction outside the cone, i.e. in the domain degenerating into a point at the initial moment of time.
M. I. Ramazanov, Nurtay Kudaibergenovich Gulmanov   +1 more
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Singular integral equation for an electric dipole taking into account the finite metal conductivity from which it is made

Физика волновых процессов и радиотехнические системы, 2022
A singular integral equation for an electric dipole has been obtained, which makes it possible to take into account the finite conductivity of the metal from which it is made.
Dmitriy S. Klyuev, Yulia V. Sokolova
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The Carleman regularization technique in the modelling of the plane E‐polarized electromagnetic wave scattering by a flat system of impedance strips

IET Microwaves, Antennas & Propagation, 2021
The Carleman method of analytical regularization is used to model the plane E‐polarized electromagnetic wave scattering by flat grating of a finite number of impedance strips. It is based on a modification of the singular integral equation technique, the
George I. Koshovy, Andrew G. Koshovy
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Non-homogeneous impulsive time fractional heat conduction equation

Journal of Numerical Analysis and Approximation Theory, 2023
This article provides a concise exposition of the integral transforms and its application to singular integral equation and fractional partial differential equations.
Arman Aghili
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A singular stochastic integral equation [PDF]

Proceedings of the American Mathematical Society, 1982
This note is devoted to the discussion of the stochastic differential equation X d X + Y
Nualart, David, Sanz, Marta
openaire   +4 more sources

To the numerical solution of singular integro-differential Prandtl equation by the method of orthogonal polynomials

Журнал Белорусского государственного университета: Математика, информатика, 2019
In the paper, computational schemes for solving the Cauchy problem for the singular integro-differential Prandtl equation with a singular integral over a segment of the real axis, understood in the sense of the Cauchy principal value, are constructed and
Galina A. Rasolko
doaj   +1 more source

Elastic crack-tip stress field in a semi-strip [PDF]

Fracture and Structural Integrity, 2018
In this article the plain elasticity problem for a semi-strip with a transverse crack is investigated in the different cases of the boundary conditions at the semi-strips end.
Victor Reut, Natalya Vaysfeld, Zinaida Zhuravlova   +2 more
doaj   +3 more sources

Singular Volterra integral equations

Applied Mathematics Letters, 2000
The authors study the existence of a nonnegative solution to the Volterra integral equation \[ y(t) = h(t)+ \int_0^t k(t,s)f(s,y(s)) ds,\quad t\in [0,T], \] where the nonlinearity \(f(t,y)\) may be singular at \(y=0\). The assumptions used are such that they easily get a result on the existence of a solution of the singular initial value problem \(y ...
Agarwal, R.P., O'Regan, D.
openaire   +1 more source

A Numerical Study for the Dirichlet Problem of the Helmholtz Equation

Mathematics, 2021
In this paper, an effective numerical method for the Dirichlet problem connected with the Helmholtz equation is proposed. We choose a single-layer potential approach to obtain the boundary integral equation with the density function, and then we deal ...
Yao Sun, Shijie Hao
doaj   +1 more source