Geodesic
$W$-method for the study of variational problems (with computational aspects)
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 2 (2008), pp. 165-168 
V. Z. Tsalyuk. $W$-method for the study of variational problems (with computational aspects). Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 2 (2008), pp. 165-168. http://geodesic.mathdoc.fr/item/VUU_2008_2_a53/
@article{VUU_2008_2_a53,
     author = {V. Z. Tsalyuk},
     title = {$W$-method for the study of variational problems (with computational aspects)},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {165--168},
     year = {2008},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2008_2_a53/}
}
TY  - JOUR
AU  - V. Z. Tsalyuk
TI  - $W$-method for the study of variational problems (with computational aspects)
JO  - Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
PY  - 2008
SP  - 165
EP  - 168
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/VUU_2008_2_a53/
LA  - ru
ID  - VUU_2008_2_a53
ER  - 
%0 Journal Article
%A V. Z. Tsalyuk
%T $W$-method for the study of variational problems (with computational aspects)
%J Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
%D 2008
%P 165-168
%N 2
%U http://geodesic.mathdoc.fr/item/VUU_2008_2_a53/
%G ru
%F VUU_2008_2_a53

Voir la notice de l'article provenant de la source Math-Net.Ru

The paper gives a survey of the recent state of the theory concerned with the $W$-substitution in quadratic variational problems, the announcement on the programming package for exact calculations for such problems and the examples of applications.

[1] Azbelev N. V. and Rakhmatullina L. F., Theory of linear functional differential equations and applications, Memoirs on Differential Equations and Mathematical Physics, 8, 1996 | MR | Zbl

[2] Gusarenko S. A., Optimalnoe upravlenie: ekstremalnye i variatsionnye zadachi, Perm, 2001, 86 pp. | Zbl

[3] Azbelev N. V., Kultyshev S. Yu., Tsalyuk V. Z., Funktsionalno-differentsialnye uravneniya i variatsionnye zadachi, Regulyarnaya i khaoticheskaya dinamika, Izhevsk, M., 2006, 123 pp.

[4] Tsalyuk V. Z., “The $W$-method for variational problems with quadratic functionals”, Functional differential equations, 15:3–4 (2008) | MR | Zbl

[5] V. Z. Tsalyuk, Proekt $\mathbf L_2$, http://vts.math.kubsu.ru/l2/l2.htm