Controllability of the Laguerre and the Jacobi Equations

Mathematics – Classical Analysis and ODEs

Scientific paper

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10 pages

Scientific paper

In this paper we study the controllability of the controlled Laguerre
equation and the controlled Jacobi equation. For each case, we found conditions
which guarantee when such systems are approximately controllable on the
interval $[0, t_1]$. Moreover, we show that these systems can never be exactly
controllable

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