Hyers-Ulam stability of nonlinear integral equation.
Méthode unitaire d'étude des différentes classes de problémes "bien posés" concernant certains systémes intégro-différentiels non linéaires aux opérateurs polyvibrants et aux autocontroles dans les limites d'integration.
More on the Weeks Method for the Numerical Inversion of the Laplace Transform.
Nonlinear hyperbolic equations with dissipative temporal and spatial non-local memory.
Nonlinear Volterra Equations With Infinite Delay.
Numerical solutions for second-kind Volterra integral equations by Galerkin methods
In this paper, we study the global convergence for the numerical solutions of nonlinear Volterra integral equations of the second kind by means of Galerkin finite element methods. Global superconvergence properties are discussed by iterated finite element methods and interpolated finite element methods. Local superconvergence and iterative correction schemes are also considered by iterated finite element methods. We improve the corresponding results obtained by collocation methods in the recent...
Numerical Treatment of Singular Integral Equations by Interpolation Methods.
On a Class of Hammerstein Integral Equations.
On a parabolic integrodifferential equation of Barbashin type
In the present paper we study some basic qualitative properties of solutions of a nonlinear parabolic integrodifferential equation of Barbashin type which occurs frequently in applications. The fundamental integral inequality with explicit estimate is used to establish the results.
On an integral equation.
On approximate solutions of degenerate integrodifferential parabolic problems
On convergence of quadrature-differences method for linear singular integro-differential equations on the interval
Here we propose and justify the quadrature-differences method for the full linear singular integro-differential equations with Cauchy kernel on the interval . We consider equations of zero, positive and negative indices. It is shown, that the method converges to exact solution and the error estimate depends on the sharpness of derivative approximation and the smoothness of the coefficients and the right-hand side of the equation.
On non-linear Volterra integral-functional equations in several variables
On the approximate solution of the multi-group time-dependent transport equation by -method
This paper concerns -velocity model of the general linear time-dependent transport equation. The assumed probability of the collision (scattering, fission) depends only on the angle of the directions of the moving neutron before and after the collision. The weak formulation of the problem is given and a priori estimates are obtained. The construction of an approximate problem by -method is given. In the symmetric hyperbolic system obtained by -method dissipativity and -orthogonality of the relevant...
On the approximative solution of integral equations
On the existence and uniqueness of solutions of a certain integral-functional equation
On the Inversion of the Attenuated Radon Transform.
Periodic solutions for nonlinear Volterra integrodifferential equations in Banach spaces
In this paper we examine periodic integrodifferential equations in Banach spaces. When the cone is regular, we prove two existence theorems for the extremal solutions in the order interval determined by an upper and a lower solution. Both theorems use only the order structure of the problem and no compactness condition is assumed. In the last section we ask the cone to be only normal but we impose a compactness condition using the ball measure of noncompactness. We obtain the extremal solutions...
Periodic solutions of a one-dimensional Wilson-Cowan type model.
Quadratically converging iterative schemes for nonlinear Volterra integral equations and an application.