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On Linear Differential Equations Involving a Para-Grassmann Variable
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- Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5
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On Linear Differential Equations Involving a Para-Grassmann Variable
Інший ID:
2000 Mathematics Subject Classification: 11B39; 13A99; 15A75; 34A30; 81R05; 81T60
Посилання:
On Linear Differential Equations Involving a Para-Grassmann Variable / T. Mansour, M. Schork // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 58 назв. — англ.
Підтримка:
The authors would like to thank V.I. Tkach and R.M. Yamaleev for instructive correspondence as well as the anonymous referees for several suggestions improving the paper.
Дата:
2009
Переглядів:
422
Завантажень:
205
Анотація:
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.
