Automorphisms of Ordinary Differential Equations
The paper deals with the local theory of internal symmetries of underdetermined systems of ordinary differential equations in full generality. The symmetries need not preserve the choice of the independent variable, the hierarchy of dependent variables, and the order of derivatives. Internal approac...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/482963 |
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| _version_ | 1841524824376082432 |
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| author | Václav Tryhuk Veronika Chrastinová |
| author_facet | Václav Tryhuk Veronika Chrastinová |
| author_sort | Václav Tryhuk |
| collection | DOAJ |
| description | The paper deals with the local theory of internal symmetries of underdetermined
systems of ordinary differential equations in full generality. The symmetries need not
preserve the choice of the independent variable, the hierarchy of dependent variables,
and the order of derivatives. Internal approach to the symmetries of one-dimensional
constrained variational integrals is moreover proposed without the use of multipliers. |
| format | Article |
| id | doaj-art-6d8c742fe60b4c12833189a8fbcd4b29 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-6d8c742fe60b4c12833189a8fbcd4b292025-02-03T05:47:18ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/482963482963Automorphisms of Ordinary Differential EquationsVáclav Tryhuk0Veronika Chrastinová1Department of Mathematics, Faculty of Civil Engineering, Brno University of Technology, Veveří 331/95, 602 00 Brno, Czech RepublicDepartment of Mathematics, Faculty of Civil Engineering, Brno University of Technology, Veveří 331/95, 602 00 Brno, Czech RepublicThe paper deals with the local theory of internal symmetries of underdetermined systems of ordinary differential equations in full generality. The symmetries need not preserve the choice of the independent variable, the hierarchy of dependent variables, and the order of derivatives. Internal approach to the symmetries of one-dimensional constrained variational integrals is moreover proposed without the use of multipliers.http://dx.doi.org/10.1155/2014/482963 |
| spellingShingle | Václav Tryhuk Veronika Chrastinová Automorphisms of Ordinary Differential Equations Abstract and Applied Analysis |
| title | Automorphisms of Ordinary Differential Equations |
| title_full | Automorphisms of Ordinary Differential Equations |
| title_fullStr | Automorphisms of Ordinary Differential Equations |
| title_full_unstemmed | Automorphisms of Ordinary Differential Equations |
| title_short | Automorphisms of Ordinary Differential Equations |
| title_sort | automorphisms of ordinary differential equations |
| url | http://dx.doi.org/10.1155/2014/482963 |
| work_keys_str_mv | AT vaclavtryhuk automorphismsofordinarydifferentialequations AT veronikachrastinova automorphismsofordinarydifferentialequations |