Том 12 № 1

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On the integrability problem for systems of partial differential equations in one unknown function, II
(2019) Antonio Kumpera
We continue here our discussion of Part I, [18], by examining the local equivalence problem for partial differential equations and illustrating it with some examples, since almost any integration process or method is actually a local equivalence problem involving a suitable model. We terminate the discussion by inquiring on non-integrable Pfaffian systems and on their integral manifolds of maximal dimension.