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TWO PROBLEMS IN THE THEORY OF DIFFERENTIAL EQUATIONS
Stockholm University, Faculty of Science, Department of Mathematics. New York University Abu Dhabi, United Arab Emirates.
Number of Authors: 12019 (English)In: Theoretical and mathematical physics, ISSN 0040-5779, E-ISSN 1573-9333, Vol. 198, no 2, p. 271-283Article in journal (Refereed) Published
Abstract [en]

Differential equations considered in terms of exterior differential forms, as did E. 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.

Place, publisher, year, edition, pages
2019. Vol. 198, no 2, p. 271-283
Keywords [en]
supersymmetry, nonholonomic mechanics
National Category
Mathematics Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-169312DOI: 10.1134/S0040577919020089ISI: 000464906900008OAI: oai:DiVA.org:su-169312DiVA, id: diva2:1319354
Available from: 2019-05-31 Created: 2019-05-31 Last updated: 2022-02-26Bibliographically approved

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Leites, Dimitry A.

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