Application of matrix polynomials to investigation of singular equations.
Existence and uniqueness of solutions to weakly singular integral-algebraic and integro-differential equations
We consider systems of integral-algebraic and integro-differential equations with weakly singular kernels. Although these problem classes are not in the focus of the main stream literature, they are interesting, not only in their own right, but also because they may arise from the analysis of certain classes of differential-algebraic systems of partial differential equations. In the first part of the paper, we deal with two-dimensional integral-algebraic equations. Next, we analyze Volterra integral...
Existence results for non-linear singular integral equations with Hilbert kernel in Banach spaces
A class of non-linear singular integral equations with Hilbert kernel and a related class of quasi-linear singular integro-differential equations are investigated by applying Schauder's fixed point theorem in Banach spaces.
Factorization of matrix-functions and regularization of singular integral operators on manifolds with boundary.
Fieldless methods for the simulation of stationary and nonstationary induction heating
First boundary value problem of electroelasticity for a transversally isotropic plane with curvilinear cuts.
Fonctionnelle quadratique et équations intégrales pour les problèmes d'onde harmonique en domaine extérieur
Fredholm-Volterra integral equation with potential kernel.
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.
On boundary integral equations of the first kind for the bi-laplacian in a polygonal plane domain
On convergence of the polynomial collocation method for singular integral equations and periodic pseudodifferential equations.
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.
Stability analysis of -methods for neutral multidelay integrodifferential system.
The Convergence of a Direct BEM for the Plane Mixed Boundary Value Problem of the Laplacian.
К задачам со смещениями для уравнений смешанного типа
О гладкости решения многомерных слабо сингулярных интегральных уравнений