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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
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
Citation:
Toufik Mansour, Matthias Schork, “On Linear Differential Equations Involving a Para-Grassmann Variable”, SIGMA, 5 (2009), 073, 26 pp.
Linking options:
https://www.mathnet.ru/eng/sigma418 https://www.mathnet.ru/eng/sigma/v5/p73
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Abstract page: | 289 | Full-text PDF : | 44 | References: | 30 |
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