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Algebrization of Nonautonomous Differential Equations
Joint Authors
Grimaldo-Reyna, María Esther
García, María Aracelia Alcorta
López-González, Elifalet
Frías-Armenta, Martín-Eduardo
Source
Journal of Applied Mathematics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-11-09
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
Given a planar system of nonautonomous ordinary differential equations, dw/dt=F(t,w), conditions are given for the existence of an associative commutative unital algebra A with unit e and a function H:Ω⊂R2×R2→R2 on an open set Ω such that F(t,w)=H(te,w) and the maps H1(τ)=H(τ,ξ) and H2(ξ)=H(τ,ξ) are Lorch differentiable with respect to A for all (τ,ξ)∈Ω, where τ and ξ represent variables in A.
Under these conditions the solutions ξ(τ) of the differential equation dξ/dτ=H(τ,ξ) over A define solutions (x(t),y(t))=ξ(te) of the planar system.
American Psychological Association (APA)
García, María Aracelia Alcorta& Frías-Armenta, Martín-Eduardo& Grimaldo-Reyna, María Esther& López-González, Elifalet. 2015. Algebrization of Nonautonomous Differential Equations. Journal of Applied Mathematics،Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1067109
Modern Language Association (MLA)
García, María Aracelia Alcorta…[et al.]. Algebrization of Nonautonomous Differential Equations. Journal of Applied Mathematics No. 2015 (2015), pp.1-10.
https://search.emarefa.net/detail/BIM-1067109
American Medical Association (AMA)
García, María Aracelia Alcorta& Frías-Armenta, Martín-Eduardo& Grimaldo-Reyna, María Esther& López-González, Elifalet. Algebrization of Nonautonomous Differential Equations. Journal of Applied Mathematics. 2015. Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1067109
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1067109