Geodesic
On direct variational formulations for second order evolutionary equations
Eurasian mathematical journal, Tome 3 (2012) no. 4, pp. 23-34.

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The existence of direct variational formulations for a wide class of second order evolutionary equations is investigated. 
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S. A. Budochkina; V. M. Savchin. On direct variational formulations for second order evolutionary equations. Eurasian mathematical journal, Tome 3 (2012) no. 4, pp. 23-34. http://geodesic.mathdoc.fr/item/EMJ_2012_3_4_a2/

[1] V. Volterra, Leçons sur les fonctions de lignes, Gautier-Villars, Paris, 1913

[2] V. M. Savchin, Mathematical methods of mechanics of infinite-dimensional nonpotential systems, Peoples' Friendship University of Russia, Moscow, 1991 (in Russian) | MR

[3] S. A. Budochkina, Investigation of the motion of the Helmholtz systems with infinite number of degrees of freedom, PhD thesis, Moscow, 2005 (in Russian)

[4] S. A. Budochkina, V. M. Savchin, “On indirect variational formulations for operator equations”, Journal of Function Spaces and Applications, 5:3 (2007), 231–242 | DOI | MR