On Linear Differential Equations Involving a Para-Grassmann Variable
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 cla...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2009 |
| ISSN: | 1815-0659 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2009
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/149147 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862719931494170624 |
|---|---|
| author | Mansour, T. Schork, M. |
| author_facet | Mansour, T. Schork, M. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
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| first_indexed | 2025-12-07T18:23:19Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149147 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T18:23:19Z |
| publishDate | 2009 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Mansour, T. Schork, M. 2019-02-19T17:40:41Z 2019-02-19T17:40:41Z 2009 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. 1815-0659 2000 Mathematics Subject Classification: 11B39; 13A99; 15A75; 34A30; 81R05; 81T60 https://nasplib.isofts.kiev.ua/handle/123456789/149147 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. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications On Linear Differential Equations Involving a Para-Grassmann Variable Article published earlier |
| spellingShingle | On Linear Differential Equations Involving a Para-Grassmann Variable Mansour, T. Schork, M. |
| title | On Linear Differential Equations Involving a Para-Grassmann Variable |
| title_full | On Linear Differential Equations Involving a Para-Grassmann Variable |
| title_fullStr | On Linear Differential Equations Involving a Para-Grassmann Variable |
| title_full_unstemmed | On Linear Differential Equations Involving a Para-Grassmann Variable |
| title_short | On Linear Differential Equations Involving a Para-Grassmann Variable |
| title_sort | on linear differential equations involving a para-grassmann variable |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149147 |
| work_keys_str_mv | AT mansourt onlineardifferentialequationsinvolvingaparagrassmannvariable AT schorkm onlineardifferentialequationsinvolvingaparagrassmannvariable |