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Higher-Order Linear Differential Systems with Truncated Coefficients
 

Summary: Higher-Order Linear Differential Systems with
Truncated Coefficients
S. A. Abramov1
, M. A. Barkatou2
, E. Pfl¨ugel3
1
Computing Centre of the Russian Academy of Sciences, Vavilova, 40, Moscow
119333, Russia; sergeyabramov@mail.ru
2
Institut XLIM, D´epartement Math´ematiques et Informatique, Universit´e de
Limoges ; CNRS, 123, Av. A. Thomas, 87060 Limoges cedex, France;
moulay.barkatou@unilim.fr
3
Faculty of CISM, Kingston University, Penrhyn Road, Kingston upon Thames,
Surrey KT1 2EE, United Kingdom; E.Pfluegel@kingston.ac.uk
Abstract. We consider the following problem: given a linear differential
system with formal Laurent series coefficients, we want to decide whether
the system has non-zero Laurent series solutions, and find all such solutions if
they exist. Let us also assume we need only a given positive integer number
l of initial terms of these series solutions. How many initial terms of the

  

Source: Abramov, Sergei A. - Dorodnicyn Computing Centre of the Russian Academy of Sciences

 

Collections: Mathematics; Computer Technologies and Information Sciences