Geodesic
Theory of invariant variational problems and its applications
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 156 (2014) no. 4, pp. 5-13

Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

A brief review of the works on the modified theory of invariant variational problems and its applications, developed by the author, is presented. The research is based on the infinitesimal Li–Ovsyannikov formalism and E. Noether's fundamental idea of invariant functionals. Theorems on generalized invariance are proved, and the application of the developed theory to the solution of optimal problems of mathematical physics is discussed.
Keywords: Lee group, integral invariant, functional invariance, Noether's generalized theorem, Pontryagin's maximum principle
Mots-clés : Bellman's equation. 
@article{UZKU_2014_156_4_a0,
     author = {K. G. Garaev},
     title = {Theory of invariant variational problems and its applications},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {5--13},
     publisher = {mathdoc},
     volume = {156},
     number = {4},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2014_156_4_a0/}
}
TY  - JOUR
AU  - K. G. Garaev
TI  - Theory of invariant variational problems and its applications
JO  - Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki
PY  - 2014
SP  - 5
EP  - 13
VL  - 156
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/UZKU_2014_156_4_a0/
LA  - ru
ID  - UZKU_2014_156_4_a0
ER  - 
%0 Journal Article
%A K. G. Garaev
%T Theory of invariant variational problems and its applications
%J Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki
%D 2014
%P 5-13
%V 156
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/UZKU_2014_156_4_a0/
%G ru
%F UZKU_2014_156_4_a0
K. G. Garaev. Theory of invariant variational problems and its applications. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 156 (2014) no. 4, pp. 5-13. http://geodesic.mathdoc.fr/item/UZKU_2014_156_4_a0/