A note on nonlinear integral equations
A note on the existence of solutions to some nonlinear functional integral equations.
A note on the Poisson-Boltzmann equation
A note on the stability of -methods for Volterra integral equations of the second kind
A note on the unique solvability of a class of nonlinear equations.
A note on Volterra integral equations with degenerate kernel
A note on weak estimates for oscillating kernels
A numerical method for solving the Abel integral equation
A numerical method for the solution of plane crack problems in finite media.
A numerical method in terms of the third derivative for a delay integral equation from biomathematics.
A numerical solution of diffraction problems for the radiation transport equation.
A numerical solution of the Dirichlet problem on some special doubly connected regions
The aim of this paper is to give a convergence proof of a numerical method for the Dirichlet problem on doubly connected plane regions using the method of reflection across the exterior boundary curve (which is analytic) combined with integral equations extended over the interior boundary curve (which may be irregular with infinitely many angular points).
A numerical solution using an adaptively preconditioned Lanczos method for a class of linear systems related with the fractional Poisson equation.
A perturbed integral geometry problem in a three-dimensional space.
A piecewise constant collocation method using cosine mesh grading for Symm's equation.
A pointwise estimate for the solution to a linear Volterra integral equation
Utilizzando una generalizzazione della disuguaglianza di Gronwall si fornisce una stima puntuale per la soluzione dell’equazione lineare integrale di Volterra di seconda specie. Tale stima può essere applicata utilmente anche nello studio della stabilità di equazioni di evoluzione per mezzi continui.
A polynomial collocation method for Cauchy singular integral equations over the interval.
A probabilistic approach to the boundedness of singular integral operators
A proof of the smoothing properties of the positive part of Boltzmann's kernel.
We give two direct proofs of Sobolev estimates for the positive part of Boltzmann's kernel. The first deals with a cross section with separated variables; no derivative is needed in this case. The second is concerned with a general cross section having one derivative in the angular variable.
A quadratic integral equation