Linear Hamiltonian systems on time scales: transformations
| Authors | |
|---|---|
| Year of publication | 1999 |
| Type | Article in Periodical |
| Magazine / Source | Dynamic Systems and Applications |
| MU Faculty or unit | |
| Citation | |
| 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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