Results 71 to 80 of about 23,229 (213)
The paper is constructed and proved computational scheme for a solution of singular Prandtl of integro-differential equations with singular integral over the interval of the real axis, understood in the sense of the Cauchy principal value.
Galina A. Rasolko
doaj
Debye Sources and the Numerical Solution of the Time Harmonic Maxwell Equations, II [PDF]
In this paper, we develop a new integral representation for the solution of the time harmonic Maxwell equations in media with piecewise constant dielectric permittivity and magnetic permeability in R^3.
Epstein, Charles L. +2 more
core
Volume and surface integral equations for electromagnetic scattering by a dielectric body
13 pagesInternational audienceWe derive and analyze two equivalent integral formulations for the time-harmonic electromagnetic scattering by a dielectric object. One is a volume integral equation (VIE) with a strongly singular kernel and the other one is
Costabel, Martin +2 more
core +4 more sources
Multivariate representations of univariate marked Hawkes processes
Abstract Univariate marked Hawkes processes are used to model a range of real‐world phenomena including earthquake aftershock sequences, contagious disease spread, content diffusion on social media platforms, and order book dynamics. This paper illustrates a fundamental connection between univariate marked Hawkes processes and multivariate Hawkes ...
Louis Davis +3 more
wiley +1 more source
Fredholm-Volterra integral equation of the first kind with potential kernel
A series method is used to separate the variables of position and time for the Fredholm-Volterra integral equation of the first kind and the solution of the system in L_2 [0,1] × C[0,T], 0 ≤ t ≤ T < ∞ is obtained, the Fredholm integral equation is ...
M. H. Fahmy, M. A. Abdou, E. I. Deebs
doaj
Application of boundary integral method to elastoplastic analysis of V-notched beams [PDF]
The boundary integral equation method was applied in the solution of the plane elastoplastic problem. The use of this method was illustrated by obtaining stress and strain distributions for a number of specimens with a single-edge notch and subjected to ...
Albers, L. U. +3 more
core +1 more source
On a Hypersingular Equation of a Problem, for a Crack in Elastic Media [PDF]
Mathematics Subject Classification 2010: 45DB05, 45E05, 78A45.We give a procedure to reduce a hypersingular integral equation, arising in 2d diffraction problems on cracks in elastic media, to a Fredholm integral equation of the second kind, to which it ...
Gil, Alexey, Samko, Stefan
core
Certain triple q-integral equations involving third Jackson $q$-Bessel functions as kernel
In this paper, we employ the fractional $q$-calculus in solving a triple system of $q$-Integral equations, where the kernel is the third Jackson $q$-Bessel functions.
AL-Towailb, M. A., Mansour, Z. S.
core +1 more source
Scattering theory for difference equations with operator coefficients
Abstract We investigate a class of second‐order difference equations featuring operator‐valued coefficients with the aim of approaching problems of stationary scattering theory. We focus on various compact perturbations of the discrete Laplacian given in a Hilbert space of bi‐infinite square‐summable sequences with entries from a fixed Hilbert space ...
David Sher +3 more
wiley +1 more source
The boundary value problem for an ordinary linear half-order differential equation
This study is devoted to the study of the solution of a boundary value problem for an ordinary linear differential equation of half order with constant coefficients.
N. Aliyev, M. Rasulov, B. Sinsoysal
doaj +1 more source

