Vinogradov, A. M. A spectral sequence associated with a nonlinear differential equation, and algebro-geometric foundations of Lagrangian field theory with constraints. (English. Russian original) Zbl 0406.58015 Sov.. Math., Dokl. 19, 144-148 (1978); translation from Dokl. Akad. Nauk SSSR 238, 1028-1031 (1978). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 5 ReviewsCited in 34 Documents MSC: 58E30 Variational principles in infinite-dimensional spaces 49N45 Inverse problems in optimal control 55T99 Spectral sequences in algebraic topology 70H03 Lagrange’s equations 70G10 Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics Keywords:spectral sequence associated with nonlinear differential equation; Lagrangian field theory with constraints; Euler-Lagrange equations; Lagrangian; Spencer-type homology; differential operator PDF BibTeX XML Cite \textit{A. M. Vinogradov}, Sov. Math., Dokl. 19, 144--148 (1978; Zbl 0406.58015); translation from Dokl. Akad. Nauk SSSR 238, 1028--1031 (1978)