Complete Second Order Linear Differential Equations in Hilbert Spaces

Chapter 1 Introduction

Chapter 2 Joint spectrum of commuting normal operators and its position. Estimates for roots of second order polynomials. Definition of well-posedness of boundary-value problems

Chapter 3 Well-posedness of boundary-value problems for equation (1) in the case of commuting self-adjoint A and B

Chapter 4 The Cauchy problem

Chapter 5 Boundary-value problems on a finite segment

Chapter 6 Boundary behaviour of an integral transform R ( t ) as t → 0 depending on the sub-integral measure

Chapter 7 Initial data of solutions

Chapter 8 The general form of weak solutions

Chapter 9 Fatou-Riesz property

Chapter 10 Extension of weak solutions

Chapter 11 Stability and stabilization of weak solutions

Chapter 12 The Dirichlet problem on a half-line

Chapter 13 The Neumann problem on a half-line