Piecewise linear wavelet collocation, approximation of the boundary manifold, and quadrature.
Problèmes d'interpolation dans quelques espaces de fonctions non entières
Quadrature approximation of one singular integral operator.
Quadrature method for singular integral equations on closed curves.
Reduction of boundary value problem to Possio integral equation in theoretical aeroelasticity.
Regularization of one class of difference equations.
Remarks on the Existence of Nontrivial Solutions for a Class of Volterra Equations with Smooth Kernels.
Riemann problem on the double of a multiply connected circular region
The Riemann problem has been solved in [9] for an arbitrary closed Riemann surface in terms of the principal functionals. This paper is devoted to solution of the problem only for the double of a multiply connected region and can be treated as complementary to [9,1]. We obtain a complete solution of the Riemann problem in that particular case. The solution is given in analytic form by a Poincaré series.
Singular integral operators with Cauchy kernel in fractional spaces.
Singular integral operators with complex homogeneity
Singular integrals of the time harmonic Maxwell equations theory on a piecewise Liapunov surface.
Singular Value Estimates for Certain Convolution-Product Operators.
Singuläre Integraloperatoren inLp-Räumen.
Singularly perturbed Volterra integral equations with weakly singular kernels.
Slowly decreasing entire functions and convolution equations
Smoothness Properties of Solutions of Caputo-Type Fractional Differential Equations
Mathematics Subject Classification: 26A33, 34A25, 45D05, 45E10We consider ordinary fractional differential equations with Caputo-type differential operators with smooth right-hand sides. In various places in the literature one can find the statement that such equations cannot have smooth solutions. We prove that this is wrong, and we give a full characterization of the situations where smooth solutions exist. The results can be extended to a class of weakly singular Volterra integral equations.
Solution of a class of the first kind singular integral equation with multiplicative Cauchy kernel
In the present paper, we give the exact solutions of a singular equation with logarithmic singularities in two classes of functions and construct formulae for the approximate solutions.
Solution of a linear integral equation of third kind.
Solution of an integral equation with a logarithmic kernel.
Solution of Cauchy-type singular integral equations of the first kind with zeros of Jacobi polynomials as interpolation nodes.