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On Solving Systems of Autonomous Ordinary Differential Equations by Reduction to a Variable of an Algebra
Joint Authors
Alvarez-Parrilla, Alvaro
Frías-Armenta, Martín Eduardo
Yee-Romero, Carlos
López-González, Elifalet
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-01
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
A new technique for solving a certain class of systems of autonomous ordinary differential equations over ?n is introduced (? being the real or complex field).
The technique is based on two observations: (1), if ?n has the structure of certain normed, associative, commutative, and with a unit, algebras ? over ?, then there is a scheme for reducing the system of differential equations to an autonomous ordinary differential equation on one variable of the algebra; (2) a technique, previously introduced for solving differential equations over ℂ, is shown to work on the class mentioned in the previous paragraph.
In particular it is shown that the algebras in question include algebras linearly equivalent to the tensor product of matrix algebras with certain normal forms.
American Psychological Association (APA)
Alvarez-Parrilla, Alvaro& Frías-Armenta, Martín Eduardo& López-González, Elifalet& Yee-Romero, Carlos. 2012. On Solving Systems of Autonomous Ordinary Differential Equations by Reduction to a Variable of an Algebra. International Journal of Mathematics and Mathematical Sciences،Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-496094
Modern Language Association (MLA)
Alvarez-Parrilla, Alvaro…[et al.]. On Solving Systems of Autonomous Ordinary Differential Equations by Reduction to a Variable of an Algebra. International Journal of Mathematics and Mathematical Sciences No. 2012 (2012), pp.1-21.
https://search.emarefa.net/detail/BIM-496094
American Medical Association (AMA)
Alvarez-Parrilla, Alvaro& Frías-Armenta, Martín Eduardo& López-González, Elifalet& Yee-Romero, Carlos. On Solving Systems of Autonomous Ordinary Differential Equations by Reduction to a Variable of an Algebra. International Journal of Mathematics and Mathematical Sciences. 2012. Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-496094
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-496094