Some new homological invariants of nonlinear differential equations. II (Q1902731)

This paper continues part I in Russ. Math. 37, No. 1, 25-35 (1993); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1993, No. 1, 27-37 (1993; Zbl 0844.58083). The paper consists of two Sections 4 and 5. In Section 4 we construct three spectral sequences associated with the \(U\)-cohomology of an infinitely prolonged differential equation. Using one of these sequences, we compute the algebra \(H^* (\pi)\). The obtained result enables us to introduce the notion of a graded evolutionary derivation. In Section 5, we give a complete description of \(U\)-cohomology modules of evolutionary equations and consider some examples.