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Ordinary or partial differential equations. Delay differential equations, neutral equations, integro-differential equations. Well-posedness, asymptotic behavior, and related questions.
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What is the index of a given DAE system of equations?
Having investigated Scholarpedia, I am able to respond to first question. We can distinguish certian class of DAEs called semi-explicit, such as:
\begin{array}{ccc}
y' & = & f(t,y,z) \\
0 & = & g(t,y, …
2
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1
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What is the index of a given DAE system of equations?
I have very simple multi-body dynamic system from which I have to solve following DAE:
$ \textbf{q}(t) - 3 \times1 \text{ vector of known state variables} $
$ \phi(\textbf{q}(t))=0 - 2 \times 1 - \t …