CONTENTS Introduction Chapter I. Preparatory results § 1. The cokernel of a Fredholm morphism in spaces of sections § 2. The cokernel of a Fredholm morphism in spaces of sections with bounds Chapter II. The Floquet expansion of solutions of an elliptic equation on the whole space § 1. Spaces and transformations § 2. Transformations of operators. Floquet solutions. Multipliers. Quasi-impulses § 3. Floquet expansion of solutions Chapter III. Properties of the solutions of periodic equations § 1. The disposition of multipliers and decreasing solutions § 2. Solubility of the non-homogeneous equation. Bloch's theorem § 3. Dichotomy § 4. The dispersion law Chapter IV. Other classes of periodic equations and boundary-value problems § 1. Elliptic systems § 2. Hypoelliptic equations and systems § 3. Elliptic boundary-value problems § 4. Parabolic boundary-value problems § 5. The abstract evolution equation § 6. Pseudodifferential equations § 7. Relaxation of the conditions on the smoothness of the coefficients § 8. Equations with deviating argument Comments References
