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| Preface | |
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| Reducibility problems for difference equations | |
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| On analogs of the Erugin and Floquet-Lyapunov theorems for equations in the space m | |
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| Linear equations in the space m defined on tori | |
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| Nonlinear almost periodic equations denned on an infinite-dimensional torus | |
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| Reduction of a discrete dynamical system in the space R<sup>q</sup> to the canonical form in a neighborhood of its invariant set | |
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| Investigation of a discrete dynamical system defined in an abstract Banach space in a neighborhood of its invariant set | |
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| Invariant tori of difference equations in the space m | |
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| Sufficient conditions of existence of a continuous invariant torus | |
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| On the differentiability of an invariant torus with respect to the angular variable and the parameter in the coordinate-wise meaning | |
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| Truncation method in studying the smoothness of invariant tori | |
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| Case of linear and quasilinear systems defined on the infinite-dimensional tori | |
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| On the existence of the invariant tori of nonlinear systems | |
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| Differentiability of the invariant tori of nonlinear systems in the Fr�chet meaning | |
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| Conditions of existence of the Green-Samoilenko function for a linear system defined on the set m � T<sub>∞</sub> Reduction of the problem of construction of the invariant torus of this system to an analogous problem in the space R<sup>s</sup> � T<sub>m</sub> | |
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| On the existence of the smooth bounded semi-invariant manifold of a degenerate nonlinear system | |
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| Periodic solutions of difference equations. Extension of solutions | |
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| On the periodic solutions of linear and quasilinear equations with periodic coefficients in the space m | |
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| Periodic solutions of nonlinear difference equations of the first order in an abstract Banach space | |
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| Periodic solutions of nonlinear difference equations of the second order | |
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| Asymptotic periodicity of solutions of a linear equation in a complex Banach space | |
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| Extension "to the left" of solutions of nonlinear degenerate difference equations | |
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| Countable-point boundary-value problems for nonlinear differential equations | |
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| Boundary-value problem on the semiaxis | |
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| Boundary-value problems on an interval | |
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| Reduction to a finite-dimensional multipoint case | |
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| Another means of the reduction. Conditions of commutativity of the limiting transitions (4.42) and (4.43) | |
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| Boundary-value problems for differential equations unsolvable with respect to the derivative | |
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| Reduction to a finite-dimensional multipoint problem | |
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| Bibliography | |
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| Index | |