This volume contains the methods for localization of eigenvalues of matrices and matrix functions, based on the construction and study of the generalized Lyapunov equation. The theory of linear equations and operators in a matrix space is developed and the known theorems on the inertia of Hermitian solutions of matrix equations are generalized. The author develops new algebraic methods for stability analysis, an evaluation of spectrum and representation of solutions of linear arbitary order differential and difference systems. The volume is intended for researchers, engineers and postgraduates interested in the theory of stability and stabilization of dynamic systems, matrix analysis and applications.

Dynamics of Compressible Viscous Fluid is the first monograph applied to the theory of small vibrations (motions) of rigid and elastic bodies in compressible viscous fluid. The volume also develops the methods of analysis based on the proposed general solutions of linearized Navier-Stokes equations in vector or scalar forms and considers the following problems:

• forced harmonic vibrations and nonstationary motions of rigid bodies in moving and at rest compressible viscous fluid
• dynamics of rigid bodies in at rest compressible fluid under the action of radiation forces from the interaction with acoustic harmonic waves
• wave propagation in elastic bodies with initial (residual) stresses and in thin-walled elastic cylindrical shell interacting with a compressible viscous fluid.

The volume provides a useful reference text for postgraduates and researchers in applied engineering particularly wave dynamics, continuum mechanics and fluid mechanics.