About the book
This book covers the field of mathematical physics, the mechanics of a deformable solid, and wave dynamics of media. It will discuss the developed mathematical models, and methods, for investigation of the dynamic processes in solids and in media. Its content includes the methods of generalized functions and boundary integral equations for solving boundary value problems for systems equations of hyperbolic type of mathematical physics; BIE method for solving stationary and non-stationary boundary-value problems of elastodynamics, electrodynamics and field theory. The fundamental and generalized solutions of considered equations are constructed and their properties are studied. Green functions and Green tensors for the systems are presented and methods of their construction on the base Fourier and Laplace transformation, are given.
The application of these equations and their solutions to solving boundary value problems are developed on the base of analytic mathematical methods.
This book may be useful to specialists in the fields of mathematics, mathematical physics and mechanics.