Regularization, Uniqueness and Existence of Solutions of Volterra Equations of the First Kind

Abstract

System of Volterra integral equations of the first kind: the system of Volterra linear integral equations of the first kind in the interval stability of solutions of Volterra integral equations of the second kind in the semiaxis the system of Volterra integral equations of the first kind in the semiaxis the system of Volterra linear integral equations of the first kind in the space of square-integrable functions. The system of Volterra linear integral equations of the first kind of the convolution type and commutative ring: the system of Volterra integral equations of the first kind of the convolution type commutative ring and a system of equations in it application to inverse problems. The system of Volterra integral equations of the first kind with two independent variables: the system of two-dimensional Volterra linear integral equations of the first kind the system of Volterra nonlinear two-dimensional integral equations of the first kind. Volterra operator equations: Volterra operator equations of the first kind in the scales of Hilbert spaces Volterra operator equations of the first kind in the scales of Banach spaces Volterra operator equations of the first kind with commuting kernels on uniqueness of solution of Volterra operator equations nonlinear Volterra operator equations of the first kind. Problems of integral geometry: the problem of integral geometry in the three dimensional band the problem of integral geometry in a two-dimensional band the problem of integral geometry with spatial curves the equations connected with problems of integral geometry.