M.Bohner, O.Dosly, R.Hilscher

Linear Hamiltonian dynamic systems on time scales: Sturmian property of the principal solution

Abstract

Basic results of the oscillation and transformation theories of linear Hamiltonian dynamic systems on time scales are presented. It is shown that these results incorporate, as particular cases, oscillation and transformation theories of linear Hamiltonian differential systems and symplectic difference systems. In the last part of the paper a Sturmian-type property of the principal solution of linear Hamiltonian dynamic systems is established.


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Last change: January 7, 2001. (c) Roman Hilscher