Lie Symmetry Theorem for Nonshifted Birkhoffian Systems on Time Scales
نویسندگان
چکیده
The Lie theorem for Birkhoffian systems with time-scale nonshifted variational problems are studied, including free system, generalized system and constrained system. First, the Pfaff-Birkhoff principle is established, dynamical equations three under deduced. Afterwards, in problems, by introducing infinitesimal transformations, symmetry defined respectively. Then theorems kinds of deduced proved. In end, examples given to explain applications results.
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ژورنال
عنوان ژورنال: Wuhan University Journal of Natural Sciences
سال: 2022
ISSN: ['1007-1202', '1993-4998']
DOI: https://doi.org/10.1051/wujns/2022273211