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Below is an advertising information about mentioned book. The book consists of introduction, six chapters, bib- liography and index. 1.2 Characters of Solutions to Linear Systems 1.3 Asymptotic Behavior of Solutions of a Nonlinear System of Ordi- nary Differential Equations 1.4 Behavior of Solutions in the Vicinity of a Singular Point 1.5 Theory of Lyapunov Stability of Nonperturbed Motion Chapter 2. The Case of Unit Roots of Characteristic Equation 2.4 Some Complex Roots of Characteristic Equation with Unity Moduli 2.5 Theory of Disturbances of Periodic Motions Chapter 3. 3.2 Small Parameter Technique 3.3 Proper Oscillations of Autonomous Systems in a Vicinity of an Equilibrium 3.4 Constrained Periodic and Almost Periodic Oscillations 3.5 Influence of Exterior Disturbances on Stationary Motions Chapter 4.