0. Introduction.- 1. Green’s Formulas and Theorems on Complete Collection of Isomorphisms for General Elliptic Boundary Value Problems for Systems of Douglis—Nirenberg Structure.- 2. Elliptic Boundary Value Problems for General Systems of Equations with Additional Unknown Functions Defined at the Boundary of a Domain.- 3. Sobolev’s Problem.- 4. The Cauchy Problem for General Hyperbolic Systems in the Complete Scale of Sobolev Type Spaces.- 5. Boundary Value and Mixed Problems for General Hyperbolic Systems.- 6. Green’s Formula and Density of Solutions for General Parabolic Boundary Value Problems in Functional Spaces on Manifolds.- References.