Differential Equations with Operator Coefficients: with Applications to Boundary Value Problems for Partial Differential Equations (Springer Monographs in Mathematics)

The first systematic, self-contained presentation of a theory of arbitrary order ODEs with unbounded operator coefficients in a Hilbert or Banach space. Developed over the last 10 years by the authors, it deals with conditions of solvability, classes of uniqueness, estimates for solutions and asymptotic representations of solutions at infinity.