Keywords
- Spectral Sequence
- Nonlinear Differential Equation
- Smooth Manifold
- Differential Equation
- Inverse Limit
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References
Vinogradov, A.M., Krasil'shchik, I.S., and Lychagin, V.V. Application of Nonlinear Differential Equations in Civil Aviation, MIIGA, Moscow, 1977.
Vinogradov, A.M. A Spectral Sequence Associated with a Nonlinear Differential Equation and Algebro-Geometric Foundations of Lagrangian Theory with Constraints, Soviet Math. Dokl., 1978, vol. 19, N 1, 144–148.
Vinogradov, A.M. Hamiltonian Structures in Field Theory, Soviet Math. Dokl., 1978, vol. 19, N 4, 790–794.
Vinogradov, A.M. Theory of Higher Infinitesimal Symmetries of Nonlinear Partial Differential Equations, Soviet Math. Dokl., 1979, vol. 20, N 5, 985–990.
Vinogradov, A.M. Geometry of Nonlinear Differential Equations, J. Soviet Math., vol. 17, N 1, 1624–1649.
Goldschmidt, H. Integrability Criteria for Systems of Nonlinear Differential Equations, J. Diff. Geom., 1967, vol. 1, N 3.
Vinogradov, A.M. Some Homological Systems Connected with Differential Calculus in Commutative Algebras, Uspehi Mat. Nauk, 1979, vol. 34, N 6.
Wahlquist, H.D. and Estabrook, F.B. Prolongation Structures of Nonlinear Evolution Equations, J. Math. Phys., 1975, vol. 16, N 1.
Ovsyannikov, A.B. Group Analysis of Differential Equations, Nauka, Moscow, 1978.
Dedecker, P. Généralisation d'une formule de H.A. Schwartz relative aux surfaces minima, J. C.R. Acad. Sci., 1977, vol. 285, IL-item, 1977, vol. 285.
Tsujishita, T. On Variation Bicomplexes Associated to Differential Equations, Osaka Journ. of Math., 1980.
Gelfand, I.M. and Fuchs, D.B. Cohomologies of Lie Algebras of Formal Vector Fields, Izv. AN SSSR, ser. mat., 1970, vol. 34, N 1.
Krasil'shchik, I.S. and Vinogradov, A.M. Nonlocal Symmetries and the Theory of Coverings, Acta Appl. Math., 1984, vol. 2, N 1.
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© 1984 Springer-Verlag
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Vinogradov, A.M. (1984). Category of nonlinear differential equations. In: Borisovich, Y.G., Gliklikh, Y.E., Vershik, A.M. (eds) Global Analysis — Studies and Applications I. Lecture Notes in Mathematics, vol 1108. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099553
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DOI: https://doi.org/10.1007/BFb0099553
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