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Symmetry, Integrability and Geometry: Methods and Applications, 2009, Volume 5, 073, 26 pp.
DOI: https://doi.org/10.3842/SIGMA.2009.073
(Mi sigma418)
 

This article is cited in 7 scientific papers (total in 7 papers)

On Linear Differential Equations Involving a Para-Grassmann Variable

Toufik Mansoura, Matthias Schorkb

a Department of Mathematics, University of Haifa, 31905 Haifa, Israel
b Camillo-Sitte-Weg 25, 60488 Frankfurt, Germany
Full-text PDF (358 kB) Citations (7)
References:
Abstract: As a first step towards a theory of differential equations involving para-Grassmann variables the linear equations with constant coefficients are discussed and solutions for equations of low order are given explicitly. A connection to $n$-generalized Fibonacci numbers is established. Several other classes of differential equations (systems of first order, equations with variable coefficients, nonlinear equations) are also considered and the analogies or differences to the usual (“bosonic”) differential equations discussed.
Keywords: para-Grassmann variables; linear differential equations.
Received: May 1, 2009; in final form July 5, 2009; Published online July 15, 2009
Bibliographic databases:
Document Type: Article
Language: English
Citation: Toufik Mansour, Matthias Schork, “On Linear Differential Equations Involving a Para-Grassmann Variable”, SIGMA, 5 (2009), 073, 26 pp.
Citation in format AMSBIB
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\paper On Linear Differential Equations Involving a~Para-Grassmann Variable
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  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Symmetry, Integrability and Geometry: Methods and Applications
     
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