Satisfying boundary conditions (5) by the functions (13)-(14) on the faces of cracks with end zones, we get a system of

singular integral equations with respect to the unknown functions [g.

Then, we use the Toeplitz matrix method and product Nystrom method, as the best two methods, to obtain the solution of the

singular integral equation numerically.

p](D), p > 2, is a solution of the

singular integral equation

Weakly

singular integral equations are also discussed.

Shamir, Calderon's reproducing formula and

singular integral operators on a real line.

of Memphis, Tennessee) quantitatively study the basic approximation properties of the general Picard, Gauss-Weierstrass, and Poisson-Cauchy

singular integral operators over the real line, which are not positive linear operators.

Calderon (1920-1998) was an important Argentine mathematician known for his work on the theory of partial differential equations and

singular integral operators.

The q-Fourier transform and its inverse are certain

singular integral equations, somewhat similar to the case of the classical Hilbert transform; see [24], [39] for an account of the theory of

singular integral equations.

In [30] the Haar wavelet method is applied to solving different types of linear integral equations (Fredholm, Volterra, integro-differential, weakly

singular integral equations), also the eigenvalue problem is solved.

This small volume on linear

singular integral equations examines solutions to complex problems in partial differential equations.

He covers Volterra integral equations, Fredholm integral equations, nonlinear integral equations, the

singular integral equation, integro-differential equations, symmetric kernals and orthogonal systems of functions, and a range of applications.

w] can be found as a solution of the

singular integral equation