Differential Algebraic Systems Anew
نویسنده
چکیده
Linear di erential algebraic equations with properly stated leading term are considered via a decoupling into their essential parts. It is shown why for so-called numerically well formulated equations the decoupling and discretizations commute in some sense. In general one cannot expect this commutativity so that additional diÆculties like strong stepsize restrictions may arise. Moreover, abstract di erential algebraic equations in in nite dimensional Hilbert spaces are discussed. In particular, a linear-quadratic control problem for those equations is proved to be solvable.
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