| Some Mathematical Problems of the Theory of Elasticity |
| Some Functional Spaces and Their Properties |
| Auxiliary Propositions |
| Korn's Inequalities |
| Boundary Value Problems of Linear Elasticity |
| Perforated Domains with a Periodic Structure |
| Extension Theorems |
| Estimates for Solutions of Boundary Value Problems of Elasticity in Perforated Domains |
| Periodic Solutions of Boundary Value Problems for the System of Elasticity |
| Saint-Venant's Principle for Periodic Solutions of the Elasticity System |
| Estimates and Existence Theorems for Solutions of the Elasticity System in Unbounded Domains |
| Strong G -Convergence of Elasticity Operators |
| Homogenization of the System of Linear Elasticity |
| Composites and Perforated Materials |
| The Mixed Problem in a Perforated Domain with the Dirichlet Boundary Conditions on the Outer Part of the Boundary and the Neumann Conditions on the Surface of the Cavities |
| The Boundary Value Problem with Neumann Conditions in a Perforated Domain |
| Asymptotic Expansions for Solutions of Boundary Value Problems of Elasticity in a Perforated Layer |
| Asymptotic Expansions for Solutions of the Dirichlet Problem for the Elasticity System in a Perforated Domain |
| Asymptotic Expansions for Solutions of the Dirichlet Problem for the Biharmonic Equation |
| Some Generalizations for the Case of Perforated Domains with a Non-Periodic Structure |
| Homogenization of the System of Elasticity with Almost-Periodic Coefficients |
| Homogenization of Stratified Structures |
| Estimates for the Rate of G -Convergence of Higher-Order Elliptic Operators |
| Spectral Problems |
| Some Theorems from Functional Analysis |
| Spectral Problems for Abstract Operators |
| Homogenization of Eigenvalues and Eigenfunctions of Boundary Value Problems for Strongly Non-Homogeneous Elastic Bodies |
| On the Behaviour of Eigenvalues and Eigenfunctions of the Dirichlet Problem for Second Order Elliptic Equations in Perforated Domains |
| Third Boundary Value Problem for Second Order Elliptic Equations in Domains with Rapidly Oscillating Boundary |
| Free Vibrations of Bodies with Concentrated Masses |
| On the Behaviour of Eigenvalues of the Dirchlet Problem in Domains with Cavities Whose Concentration is Small |
| Homogenization of Eigenvalues of Ordinary Differential Operators |
| Asymptotic Expansion of Eigenvalues and Eigenfunctions of the Sturm-Liouville Problem for Equations with Rapidly Oscillating Coefficients |
| On the Behaviour of the Eigenvalues and Eigenfunctions of a G -Convergent Sequence of Non-Self-Adjoint Operators |
| References |
| Some Mathematical Problems of the Theory of Elasticity |
| Some Functional Spaces and Their Properties |
| Auxiliary Propositions |
図書
