The eight chapters cover equations applied to elasticity. After chapters on basic properties of such integral equations (30 pp.), factorization of (matrix-) functions which appear as their kernels (18 pp.), and systems of such equations (45 pp.), the author deals with problems in infinite wedges (35 pp.), the use of Fourier transforms (30 pp.), the method of false position (30 pp.), linear systems of one-dimensional equations (15 pp.) and finally, as announced in the first chapter, mixed problems in elastodynamics. There are about 120 references, mainly in Russian.
The book discusses general methods for solving mixed boundary-value problems in the vibration of stampers on semi-infinite elastic media, layered, anisotropic or pure. The contact region may be arbitrary, bounded or unbounded, even wedge-shaped. The range of possible applications is very wide: geophysics and seismology, electroacoustical instruments for surface waves and acoustics in general, dynamics of foundations, even flaw detection. Despite this advertising of applications the book is heavily theoretical and based on a Green function-functional analytic approach with quite detailed calculations throughout, and in the final chapter covers stampers or dies.