Solving linear systems of differential and difference equations with respect to a part of the unknowns
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 2, pp. 229-241

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The existence of solutions $y$ to a linear differential or difference system whose components $y_{i_1},\dots,y_{i_m}$ belong to a given class of functions and the problem of constructing such components are considered.
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     title = {Solving linear systems of differential and difference equations with respect to a~part of the unknowns},
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S. A. Abramov; M. Bronstein. Solving linear systems of differential and difference equations with respect to a part of the unknowns. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 2, pp. 229-241. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_2_a4/