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.
Solution of Fredholm integrodifferential equation for an infinite elastic plate
Many authors discussed the problem of an elastic infinite plate with a curvilinear hole, some of them considered this problem in z-plane and the others in the s-plane. They obtained an exact expression for Goursat's functions for the first and second fundamental problem. In this paper, we use the Cauchy integral method to obtain a solution to the first and second fundamental problem by using a new transformation. Some applications are investigated and also some special cases are discussed.
Solutions of singular integral equations.
Solving the Abel integral equation by interpolation methods
Some questions in operator theory and applications in analysis
Some relations between Toeplitz and singular integral operators on odd spheres
Spectral Radius Properties for Layer Potentials Associated with the Elsastostatics and Hydrostatics Equations in Nonsmooth Domains.
Spline Collocation for Singular Integro-differential Equations over (0, 1).
Spline qualocation methods for boundary integral equtions.