S. A. Abramov, M. Bronstein, “Solving linear systems of differential and difference equations with respect to a part of the unknowns”, Zh. Vychisl. Mat. Mat. Fiz., 2006, Volume 46, Number 2,Pages <nobr>229

This article is cited in 11 papers

Solving linear systems of differential and difference equations with respect to a part of the unknowns

S. A. Abramov^a, M. Bronstein^b

^a Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia
^b L'Institut National de Recherche en Informatique et en Automatique, Sophia–Antipolis, France

Abstract: 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.

Key words: computer algebra, linear systems of differential and difference equations, solution of a system with respect to a part of the unknowns.

UDC: 519.62

Received: 06.07.2005