تقرير
Symmetries and first integrals for variational ODEs with delay
| العنوان: | Symmetries and first integrals for variational ODEs with delay |
|---|---|
| المؤلفون: | Dorodnitsyn, V. A., Kozlov, R. V., Meleshko, S. V. |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics Mathematical Physics |
| مصطلحات موضوعية: | Mathematical Physics |
| الوصف: | A Lagrangian formalism for variational second-order delay ordinary differential equations (DODEs) is developed. The Noether operator identity for a DODE is established, which relates the invariance of a Lagrangian function with the appropriate variational equations and the conserved quantities. The identity is used to formulate Noether-type theorems that give the first integrals for DODE with symmetries. Relations between the invariance of the variational second-order DODEs and the invariance of the Lagrangian functions are also analyzed. Several examples illustrate the theoretical results. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2303.09102 |
| رقم الأكسشن: | edsarx.2303.09102 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |