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Two problems in the theory of differential equations

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 نشر من قبل Dimitry Leites
 تاريخ النشر 2019
  مجال البحث فيزياء
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 تأليف Dimitry Leites




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1) The differential equation considered in terms of exterior differential forms, as E.Cartan did, singles out a differential ideal in the supercommutative superalgebra of differential forms, hence an affine supervariety. In view of this observation, it is evident that every differential equation has a supersymmetry (perhaps trivial). Superymmetries of which (systems of) classical differential equations are missed yet? 2) Why criteria of formal integrability of differential equations are never used in practice?



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