Geodesic
Construction of the first integrals for a special class of nonlinear systems
The Bulletin of Irkutsk State University. Series Mathematics, Tome 5 (2012) no. 1, pp. 57-69 Cet article a éte moissonné depuis la source Math-Net.Ru

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Existence conditions of the first integrals of a certain type for a class of nonlinear systems including vacuum diode model and its generalizations are obtained. The integrability of these diode models is justified.
Keywords: unresolved systems, first integrals, integrability, vacuum diode. 
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A. A. Kosov; A. V. Sinitsyn. Construction of the first integrals for a special class of nonlinear systems. The Bulletin of Irkutsk State University. Series Mathematics, Tome 5 (2012) no. 1, pp. 57-69. http://geodesic.mathdoc.fr/item/IIGUM_2012_5_1_a5/

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