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@article{EMJ_2018_9_4_a6, author = {V. M. Savchin and S. A. Budochkina and Yake Gondo and A. V. Slavko}, title = {On the connection between first integrals, integral invariants and potentiality of evolutionary equations}, journal = {Eurasian mathematical journal}, pages = {82--90}, publisher = {mathdoc}, volume = {9}, number = {4}, year = {2018}, language = {en}, url = {http://geodesic.mathdoc.fr/item/EMJ_2018_9_4_a6/} }
TY - JOUR AU - V. M. Savchin AU - S. A. Budochkina AU - Yake Gondo AU - A. V. Slavko TI - On the connection between first integrals, integral invariants and potentiality of evolutionary equations JO - Eurasian mathematical journal PY - 2018 SP - 82 EP - 90 VL - 9 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/EMJ_2018_9_4_a6/ LA - en ID - EMJ_2018_9_4_a6 ER -
%0 Journal Article %A V. M. Savchin %A S. A. Budochkina %A Yake Gondo %A A. V. Slavko %T On the connection between first integrals, integral invariants and potentiality of evolutionary equations %J Eurasian mathematical journal %D 2018 %P 82-90 %V 9 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/EMJ_2018_9_4_a6/ %G en %F EMJ_2018_9_4_a6
V. M. Savchin; S. A. Budochkina; Yake Gondo; A. V. Slavko. On the connection between first integrals, integral invariants and potentiality of evolutionary equations. Eurasian mathematical journal, Tome 9 (2018) no. 4, pp. 82-90. http://geodesic.mathdoc.fr/item/EMJ_2018_9_4_a6/
[1] V. M. Filippov, S. R. Mikhailova, Gondo Yake, “Construction of variational factors for quasilinear second order partial differential equations”, Computer Physics Communications, 126:1–2 (2000), 67–71 | DOI
[2] V. M. Filippov, V. M. Savchin, S. G. Shorokhov, “Variational principles for nonpotential operators”, J. Math. Sci., 68:3 (1994), 275–398 | DOI
[3] P. Olver, Applications of Lie groups to differential equations, Springer-Verlag, New York, 1986
[4] H. Poincaré, Les methodes nouvelles de la mecanique celeste, v. II, Nauka, M., 1972, 999 pp.
[5] V. M. Savchin, Mathematical methods of mechanics of infinite dimensional nonpotential systems, PFU, M., 1991 (in Russian)
[6] V. M. Savchin, S. A. Budochkina, “Hamilton equations for infinite dimensional systems and their equations in variations”, Differ. Equations, 44:4 (2008), 570–573 | DOI
[7] V. G. Vil'ke, Analytical and qualitative methods of mechanics of systems with infinite number of degrees of freedom, MSU, M., 1986 (in Russian)
[8] E. T. Whittaker, A treatise on the analytical dynamics of particles and rigid bodies, Dover Publications, New York, 1944