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Lobachevskii Journal of Mathematics, 2006, Volume 23, Pages 71–93
(Mi ljm18)
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This article is cited in 1 scientific paper (total in 1 paper)
The total divergence equation
D. Krupkaab a Palacký University
b La Trobe University
Abstract:
In this paper, the total divergence equation is investigated by means of the methods used in the theory of finite order variational sequences. Integrability conditions for this equation are found, and all solutions are described. The correspondence of the solutions with some differential forms on jet spaces is established.
Keywords:
differential equation, jet, divergence, integrability, variational sequence, Euler–Lagrange expression.
Citation:
D. Krupka, “The total divergence equation”, Lobachevskii J. Math., 23 (2006), 71–93
Linking options:
https://www.mathnet.ru/eng/ljm18 https://www.mathnet.ru/eng/ljm/v23/p71
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