| Preface | |
| Numerical-Analytic Method of Investigation of Periodic Solutions for Systems With Aftereffect | p. 1 |
| Notations and Basic Ideas. Auxiliary Lemmas | p. 2 |
| Algorithm for Finding Periodic Solutions of Nonlinear Systems with Lag | p. 6 |
| Existence of Periodic Solutions | p. 13 |
| Construction of an Approximate Periodic Solution | p. 18 |
| Periodic Problem of Control for Systems with Lag | p. 26 |
| The Concrete Example of Application of the Numerical-Analytic Method | p. 27 |
| Periodic Solutions of Differential Equations of the Second Order with Retarded Argument | p. 30 |
| Periodic Solutions for Countable Systems of Differential Equations with Lag | p. 38 |
| Periodic Solutions for Nonlinear Systems of Differential Equations of the Neutral Type | p. 42 |
| Investigation of Periodic Solutions for Some Classes of Systems of Integro-Differential Equations | p. 45 |
| Periodic Solutions of Nonlinear Systems of Difference Equations | p. 55 |
| Bilateral Approximations to Periodic Solutions of Systems with Lag | p. 59 |
| Periodic Solutions of Operator-Differential Equations | p. 71 |
| Investigation of Periodic Solutions of Systems With Aftereffect by Bubnov-Galerkin's Method | p. 77 |
| Preliminary Remarks. Auxiliary Statements | p. 77 |
| Green's Function for the Problem of Periodic Solutions of Linear Systems with Lag. Properties of This Function | p. 83 |
| The Main Properties of the Jacobian Matrix for Determining Equations for Galerkin's Approximations | p. 87 |
| Existence and Convergence of Bubnov-Galerkin's Approximations | p. 93 |
| Existence of Periodic Solutions for Systems of Differential Equations with Lag | p. 98 |
| Applications of Bubnov-Galerkin's Method to the Investigation of Periodic Solutions for Some Classes of Systems of Integro-Differential Equations | p. 101 |
| Quasiperiodic Solutions of Systems With Lag. Bubnov-Galerkin's Method | p. 107 |
| Definitions and Auxiliary Statements | p. 107 |
| Construction of Quasiperiodic Solutions of Systems with Lag by Bubnov-Galerkin's Method | p. 114 |
| Construction of Quasiperiodic Solutions of Perturbed Systems with Lag by Bubnov-Galerkin's Method | p. 123 |
| Existence of Invariant Toroidal Manifolds for Systems With Lag. Investigation of the Behavior of Trajectories in Their Vicinities | p. 135 |
| Existence of Invariant Toroidal Manifolds with Loss of Smoothness | p. 135 |
| Existence of Lipschitz Tori for Nonlinear Systems with Lag | p. 150 |
| Invariant Toroidal Sets for the Systems of Differential Equations with Lag Under Pulse Influence | p. 169 |
| Behavior of Solutions of Nonlinear Systems with Lag in the Vicinity of Exponentially Stable Toroidal Manifolds | p. 185 |
| Reducibility of Linear Systems of Difference Equations With Quasi-Periodic Coefficients | p. 201 |
| Statement of the Problem and Auxiliary Statements | p. 201 |
| Theorem on Reducibility | p. 206 |
| Reducibility of Linear Systems of Difference Equations with a Smooth Right-Hand Side | p. 214 |
| Invariant Toroidal Sets for Systems of Difference Equations. Investigation of the Behavior of Trajectories on Toroidal Sets and in Their Vicinities | p. 223 |
| Auxiliary Lemmas | p. 223 |
| Periodic Solutions to Some Classes of Functional Equations | p. 229 |
| Existence of Invariant Toroidal Sets for Nonlinear Systems of Difference Equations | p. 236 |
| Reducibility of Systems of Difference Equations on the Toroidal Set | p. 245 |
| Reducibility of Nonlinear Systems of Difference Equations in the Vicinity of the Toroidal Set | p. 253 |
| References | p. 263 |
| Index | p. 279 |
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