Informace o publikaci
A note on the equivalence between even order Sturm-Liouville equations and symplectic systems on time scales
| Autoři | |
|---|---|
| Rok publikování | 2013 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | Applied Mathematics Letters |
| Fakulta / Pracoviště MU | |
| Citace | |
| Doi | http://dx.doi.org/10.1016/j.aml.2012.04.009 |
| Obor | Obecná matematika |
| Klíčová slova | Time scale; even order Sturm-Liouville dynamic equation; time reversed symplectic system; quadratic functional |
| Přiložené soubory | |
| Popis | The 2n-th order Sturm-Liouville differential and difference equations can be written as the linear Hamiltonian differential systems and symplectic difference systems, respectively. In this paper, a similar result is given for the 2n-th order Sturm-Liouville equation on time scales with using time reversed symplectic dynamic systems. Moreover, we show that this transformation preserves the value of the corresponding quadratic functionals which enables a further generalization of the theory for continuous and discrete Sturm-Liouville equations. |
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