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Two problems in the theory of differential equations
D. A. Leitesab a Division of Science and Mathematics, New York University Abu Dhabi, Abu Dhabi, United Arab Emirates
b Department of Mathematics, Stockholm University, Stockholm, Sweden
Abstract:
Differential equations considered in terms of exterior differential forms, as did É. Cartan, distinguish a differential ideal in the supercommutative superalgebra of differential forms, i.e., an affine supervariety. Therefore, each differential equation has a supersymmetry (perhaps trivial). Which superymmetries of systems of classical differential equations are not yet found? We also consider the question of why criteria of the formal integrability of differential equations are currently never used in practice.
Keywords:
supersymmetry, nonholonomic mechanics.
Received: 29.01.2018 Revised: 26.07.2018
Citation:
D. A. Leites, “Two problems in the theory of differential equations”, TMF, 198:2 (2019), 309–325; Theoret. and Math. Phys., 198:2 (2019), 271–283
Linking options:
https://www.mathnet.ru/eng/tmf9537https://doi.org/10.4213/tmf9537 https://www.mathnet.ru/eng/tmf/v198/i2/p309
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Abstract page: | 476 | Full-text PDF : | 99 | References: | 61 | First page: | 42 |
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