The Integral Equations of the Theory of Elasticity

The book is devoted to the methods and results of the integral equations theory for elasticity problems. It consists of two parts and an appendix.
The first part contains a survey of mathematical topics necessary for understanding the main aspects of this course. The mathematical background is presented within the first part in detail.
The second part deals with the most importent results in the theory of boundary intgral equations. It also discusses some new aspects of this theory which have been suggested by the authors, including the following problems: the theory of elasticity for an anisotropic medium, new type of integral equations (Pobedria's type), contact problems, fracture mechanics and Cossereat spectrum.