Geodesic
An index of linear system of differential-algebraic system with partial derivatives
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2014), pp. 62-79

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We investigate time-varying linear differential algebraic equations with partial derivatives. We introduce the concept of unsolvability index as the least possible order of the differential operator, which transforms the original system into the structural form with separated the “algebraic” and “differential” subsystems. The approach does not assume the existence of differential indexes with respect to independent variables.
Keywords: partial differential algebraic equations, unsolvability index, structural form. 
@article{IVM_2014_4_a6,
     author = {A. A. Shcheglova and S. A. Anishchuk},
     title = {An index of linear system of differential-algebraic system with partial derivatives},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {62--79},
     publisher = {mathdoc},
     number = {4},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2014_4_a6/}
}
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A. A. Shcheglova; S. A. Anishchuk. An index of linear system of differential-algebraic system with partial derivatives. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2014), pp. 62-79. http://geodesic.mathdoc.fr/item/IVM_2014_4_a6/