Inequalities of solutions of Volterra integral and differential equations.
Integral equations via saddle point problem for 2D electromagnetic problems
Integral Equations VIA Saddle Point Problem for 2D Electromagnetic Problems
A new system of integral equations for the exterior 2D time harmonic scattering problem is investigated. This system was first proposed by B. Després in [11]. Two new derivations of this system are given: one from elementary manipulations of classical equations, the other based on a minimization of a quadratic functional. Numerical issues are addressed to investigate the potential of the method.
Linear integral equations in the space of regulated functions.
On an integral operator in the space of functions with bounded variation
On boundary integral equations of the first kind for the bi-laplacian in a polygonal plane domain
On certain Heun functions, associated functions of discrete variables, and applications.
On convergence of the polynomial collocation method for singular integral equations and periodic pseudodifferential equations.
On dual integral equations arising in problems of bending of anisotropic plates.
On dual integral equations with Hankel kernel and an arbitrary weight function.
On quadruple integral equations involving trigonometric kernels.
On solution of the integral equations for the potential problems of two circular-strips.
On Spline Galerkin Methods for Singular Integral Equations with Piecewise Continuous Coefficients.
On the polyconvolution with the weight function for the Fourier cosine, Fourier sine, and the Kontorovich-Lebedev integral transforms.
On the Spectra of Finite-Dimensional Pertobations of Matrix Multiplication Operators.
Singular integral operators on manifolds with a boundary.
Solving dual integral equations on Lebesgue spaces
We study dual integral equations associated with Hankel transforms, that is, dual integral equations of Titchmarsh’s type. We reformulate these equations giving a better description in terms of continuous operators on spaces, and we solve them in these spaces. The solution is given both as an operator described in terms of integrals and as a series which converges in the -norm and almost everywhere, where denotes the Bessel function of order ν. Finally, we study the uniqueness of the solution....
Stability analysis of -methods for neutral multidelay integrodifferential system.
Stability of the solutions of impulsive integro-differential equations in terms of two measures
Stability of Volterra system with impulsive effect.