Two versions of the Cartan-Kähler theorem are proved for EDS on transitive Lie algebroids with surjective anchor, together with an illustrative example and an application to the invariant inverse variational problem.
McKay,Introduction to Exterior Differential Systems
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The Cartan-K\"ahler theorem for exterior differential systems on transitive Lie algebroids
Two versions of the Cartan-Kähler theorem are proved for EDS on transitive Lie algebroids with surjective anchor, together with an illustrative example and an application to the invariant inverse variational problem.