  The exact and approximate solutions of singular integro-differential
equations relating to the problems of interaction of an elastic thin finite or
infinite non-homogeneous patch with a plate are considered, provided that the
materials of plate and patch possess the creep property. Using the method of
orthogonal polynomials the problem is reduced to the infinite system of
Volterra integral equations, and using the method of integral transformations
this problem is reduced to the different boundary value problems of the theory
of analytic functions. An asymptotic analysis is also performed.
