Publication details

Linear Hamiltonian systems on time scales: transformations

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Year of publication 1999
Type Article in Periodical
Magazine / Source Dynamic Systems and Applications
MU Faculty or unit

Faculty of Science

Field General mathematics
Keywords time scale; (continuous and discrete) linear Hamiltonian system; transformation; disconjugacy; principal solution
Description In this work we develop a transformation theory for linear Hamiltonian systems on an arbitrary time scale T. We prove that, under suitable assumptions, a linear Hamiltonian system is transformed into a system of the same form, which includes the corresponding continuous (T=R) and discrete (T=Z) results as special cases. Since we allow the matrix B to be singular, the important Sturm-Liouville equations of higher order may be studied as a special linear Hamiltonian system.
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