Sign properties of Green’s functions for disconjugate dynamic equations on time scales

This paper continues the development of disconjugacy of higher order dynamic equations on time scales. Two-point conjugate type boundary value problems for general disconjugate dynamic equations on time scales are studied and the sign properties of associated Green’s functions are established. As expected, the results unify known results from the theories of ordinary differential equations and finite difference equations.  2003 Elsevier Inc. All rights reserved