The Second Noether Theorem on Time Scales
We extend the second Noether theorem to variational problems on time scales. As corollaries we obtain the classical second Noether theorem, the second Noether theorem for the h-calculus and the second Noether theorem for the q-calculus.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/675127 |
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| _version_ | 1832552637788061696 |
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| author | Agnieszka B. Malinowska Natália Martins |
| author_facet | Agnieszka B. Malinowska Natália Martins |
| author_sort | Agnieszka B. Malinowska |
| collection | DOAJ |
| description | We extend the second Noether theorem to variational problems on time scales. As corollaries we obtain the classical second Noether theorem, the second Noether theorem for the h-calculus and the second Noether theorem for the q-calculus. |
| format | Article |
| id | doaj-art-4cc95d9c3a284c3d9cca93143d721429 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-4cc95d9c3a284c3d9cca93143d7214292025-02-03T05:58:14ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/675127675127The Second Noether Theorem on Time ScalesAgnieszka B. Malinowska0Natália Martins1Faculty of Computer Science, Bialystok University of Technology, 15-351 Białystok, PolandCenter for Research and Development in Mathematics and Applications (CIDMA), Department of Mathematics, University of Aveiro, 3810-193 Aveiro, PortugalWe extend the second Noether theorem to variational problems on time scales. As corollaries we obtain the classical second Noether theorem, the second Noether theorem for the h-calculus and the second Noether theorem for the q-calculus.http://dx.doi.org/10.1155/2013/675127 |
| spellingShingle | Agnieszka B. Malinowska Natália Martins The Second Noether Theorem on Time Scales Abstract and Applied Analysis |
| title | The Second Noether Theorem on Time Scales |
| title_full | The Second Noether Theorem on Time Scales |
| title_fullStr | The Second Noether Theorem on Time Scales |
| title_full_unstemmed | The Second Noether Theorem on Time Scales |
| title_short | The Second Noether Theorem on Time Scales |
| title_sort | second noether theorem on time scales |
| url | http://dx.doi.org/10.1155/2013/675127 |
| work_keys_str_mv | AT agnieszkabmalinowska thesecondnoethertheoremontimescales AT nataliamartins thesecondnoethertheoremontimescales AT agnieszkabmalinowska secondnoethertheoremontimescales AT nataliamartins secondnoethertheoremontimescales |