A method for the approximate calculation of Cauchy-type integrals with logarithmic singularities is proposed. It is based on the expansion of a functionf(t) in a series in the Chebyshev polynomials.

Under the minimal assumptions imposed on given spaces, the sufficient conditions are established, under which the composition BA of operators A and B has the Noether property and is normally solvable. Similar conditions, ...

The existence of a partial solution is proved for a quasilinear differential system whose coefficients are representable by a trigonometric series with slowly varying coefficients and frequency. The solution obtained has ...

An abstract theorem on expansion of multiparameter problems for Hermite operators in generalized eigenvectors is established. Applications to differential operators are given.