Sufficient set of integrability conditions of an orthonomic system

Abstract

Every orthonomic system of partial differential equations is known to possess a finite number of integrability conditions sufficient to ensure the validity of all. Herewith we offer an efficient algorithm to construct a sufficient set of integrability conditions free of redundancies.

v. 3, in comparison to v. 2, contains: a) a proof of irredundancy; b) generalization to non-autoreduced infinite prolongations; c) yet new examples

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