NDLI: Procedures for searching local solutions of linear differential systems with infinite power series in the role of coefficients

Content Provider	Springer Nature Link
Author	Abramov, S. A. Ryabenko, A. A. Khmelv, D. E.
Copyright Year	2016
Abstract	Construction of Laurent, regular, and formal (exponential–logarithmic) solutions of full-rank linear ordinary differential systems is discussed. The systems may have an arbitrary order, and their coefficients are formal power series given algorithmically. It has been established earlier that the first two problems are algorithmically decidable and the third problem is not decidable. A restricted variant of the third problem was suggested for which the desired algorithm exists. In the paper, a brief survey of algorithms for the abovementioned decidable problems is given. Implementations of these algorithms in the form of Maple procedures with a uniform interface and data representation are suggested.
Starting Page	55
Ending Page	64
Page Count	10
File Format	PDF
ISSN	03617688
Journal	Programming and Computer Software
Volume Number	42
Issue Number	2
e-ISSN	16083261
Language	English
Publisher	Pleiades Publishing
Publisher Date	2016-03-31
Publisher Place	Moscow
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Computer Science Software Engineering/Programming and Operating Systems Operating Systems Software Engineering Artificial Intelligence (incl. Robotics)
Content Type	Text
Resource Type	Article
Subject	Software

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Procedures for searching local solutions of linear differential systems with infinite power series in the role of coefficients