R.Hilscher

Inhomogeneous quadratic functionals on time scales

Abstract

In [9] the author develops a unified theory for continuous (T=R) and discrete (T=Z) linear Hamiltonian systems on an arbitrary time scale T. In particular, he states that disconjugacy of the Hamiltonian system is a sufficient condition for positivity of the corresponding (homogeneous) quadratic functional. In this paper we present a similar condition for quadratic functionals on time scales with general (inhomogeneous) boundary conditions.

[9] R.Hilscher, Linear Hamiltonian systems on time scales: positivity of quadratic functionals .


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