In a previous paper by the author (Math. Comput. Modelling 32 (2000), 507-5
27, Linear Hamiltonian systems on time scales. Positivity of quadratic func
tionals) a unified theory for continuous (T = W) and discrete (T = Z) linea
r Hamiltonian systems on an arbitrary time scale T is developed, In particu
lar, it is stated that disconjugacy of the Hamiltonian system is a sufficie
nt condition for positivity of the corresponding (homogeneous) quadratic fu
nctional. In this paper we present a similar condition for quadratic functi
onals on time scales with general (inhomogeneous) boundary conditions, (C)
2000 Academic Press.