Simple Floquet Theory on Time Scales
| Authors | |
|---|---|
| Year of publication | 2005 |
| Type | Article in Proceedings |
| Conference | Proc. of the Eight Internat. Conf. on Difference Equations and Applications |
| MU Faculty or unit | |
| Citation | |
| Field | General mathematics |
| Keywords | key words |
| Description | The author proves the following theorem. Let $a(t)$ be rd-continuous and regressive on a $T$-periodic time scale $\Bbb T$(with a minor restriction on $\Bbb T$). Then any nontrivial solution $\phi(t)$ of the first order time scale equation $x^\Delta=a(t)\,x$ has the form $\phi(t)=p(t)\,e_b(t,t_0)$ on $\Bbb T$, where $b>0$, $p(t+2T)=p(t)$ on $\Bbb T$, and $e_b(t,t_0)$ is the time scale exponential function. |
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