Toeplitz Matrix Method and Volterra-Hammerstien Integral Equation with a Generalized Singular Kernel

Keywords: Polynomial collocation method, singular integral operator, reflection..

In this paper, following the method presented, for instance, in [6], we prove that problem (1.1) possesses a unique strongly generalized so- lution, in weighted Sobolev spaces,

In some cases solutions of the algebraic- differential equations and differential-operator equations with irreversible operator in main part can be also represented as

Wang, Positive solutions of second order quasilinear differential equations with singular nonlinearities, Differentsial’nye Uravneniya 32 (1996), 1630-1637 (in Russian).

Let us notice that in paper [7] we used the technique associated with compact integral operators and the Schauder fixed point principle. It turns out that those tools are no

Key words: linear Volterra integral equations, Lebesgue-Stieltjes integrals, Banach fixed-point principle, Bessel functions.. AMS subject classification:

In this paper, we present a method for solving the second kind Singular Abel integral equation based on the discrete Gronwall inequality, Euler Maclaurin summation formula, variable

Keywords: space of continuous and bounded functions, variation of function, func- tion of bounded variation, Riemann–Stieltjes integral, criterion of relative compactness,