A new convergence rate for the quadrature method for solving singular integral equations
A numerical method for the solution of plane crack problems in finite media.
A polynomial collocation method for Cauchy singular integral equations over the interval.
A regularization of Fredholm type singular integral equations.
A Riemann-Hilbert problem with a vanishing coefficient and applications to Toeplitz operators
We study the homogeneous Riemann-Hilbert problem with a vanishing scalar-valued continuous coefficient. We characterize non-existence of nontrivial solutions in the case where the coefficient has its values along several rays starting from the origin. As a consequence, some results on injectivity and existence of eigenvalues of Toeplitz operators in Hardy spaces are obtained.
About a stress deformation condition of a piecewise-uniform wedge with a system of collinear cracks at an antiplane deformation.
About one two-dimensional special linear integral equation of the third kind.
Analytic solution to a class of integro-differential equations.
Anwendung der Theorie der Integralgleichungen auf einige Randwertaufgaben der Funktionentheorie
Application of singular integral equations in the boundary value problems of electroelasticity.