integral equation

Approximating Properties of the Powers of the Differentiation Operator Resolvent

The families of operators are constructed and their approximating properties are investigated in the problems of approximating the derivative of function sand the smooth solutions of integralequations.

Solution of Integral Equations via Resolvents of Simplest Differential Operators

Families of operators for approximate solution of integral equations with unbounded inverse operators and right parts of equations specified by the root-mean-square approximations are constructed.