Results 141 to 150 of about 307 (168)

Superconvergence of Numerical Solutions to Volterra Integral Equations with Singularities

SIAM Journal on Numerical Analysis, 1997
The paper is devoted to the collocation method for weakly singular Volterra integral equations \[ x(t)+ \int^t_0 (t-s)^{-\alpha} h(t,s)x(s)ds= f(t),\quad t\in J=[0,T],\tag{1} \] with ...
openaire   +2 more sources

System of nonlinear Volterra’s integral equations with polar kernel and singularities

Nonlinear Analysis: Theory, Methods & Applications, 2007
Using one special Colombeau algebra and the method of regularization of fractional derivatives with a delta sequence, the author proves the existence and the uniqueness of the solution of a system of nonlinear Volterra integral equations with polar kernel.
openaire   +2 more sources

A class of singularly perturbed singular Volterra integral equations

Asymptotic Analysis, 2000
A uniformly valid asymptotic expansion is established for the solution to certain singularly perturbed generalized Abel integral equations. The results are applied to a problem in heat conduction.
openaire   +2 more sources

Volterra Type Integral Equation with Super-Singular Kernels

2017
In this work we suggest a new method for investigating the model Volterra type integral equation with super-singularity, the kernel of which consists of a composition of polynomial functions with super-singularity and functions with super-singular points.
openaire   +1 more source

Singular Perturbation-Based Adaptive Integral Sliding Mode Control for Flexible Joint Robots

IEEE Transactions on Industrial Electronics, 2023
Raja Fawad Afsar khan, Kamal Rsetam, Zhenwei Cao   +2 more
exaly  

System of Volterra Integral Equations: Integrable Singularities

2013
Ravi P. Agarwal, Donal O’Regan, Patricia J. Y. Wong   +2 more
openaire   +1 more source

Definability of singular integral operators on Morrey–Banach spaces

Journal of the Mathematical Society of Japan, 2020
Kwok-Pun Ho
exaly  

Quadrature rules for weakly singular, strongly singular, and hypersingular integrals in boundary integral equation methods

Journal of Computational Physics, 2015
John L Tsalamengas
exaly  

Volterra and Singular Integral Equations

2017
openaire   +1 more source

Existence of solutions for a class of nonlinear Volterra singular integral equations

Computers and Mathematics With Applications, 2011
Asadollah Aghajani, Józef Banaś, Yaghoub Jalilian   +2 more
exaly