R.Hilscher

Some Aspects of the Qualitative Theory of Linear Hamiltonian Systems

From Preface

This work is a collection of my papers which have been submitted and/or accepted for publication in mathematical journals. The connecting phrase between them is -- linear Hamiltonian systems. Each of Chapter 2-6 is a separate paper (without references). The list of references is provided for all papers together after Chapter 6. In Chapter 1 we give a brief overview of the present research in the area of discrete, continuous and general (on time scales) linear Hamiltonian systems compiled from the literature.

  • Chapter 2: Disconjugacy of symplectic systems and positive definiteness of block tridiagonal matrices
  • Chapter 3: Linear Hamiltonian difference systems: transformations, recessive solutions, generalized reciprocity
  • Chapter 4: Linear Hamiltonian systems on time scales: positivity of quadratic functionals
  • Chapter 5: Inhomogeneous quadratic functionals on time scales
  • Chapter 6: Linear Hamiltonian systems on time scales: transformations


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    Last change: August 28, 2000. (c) Roman Hilscher