Geodesic
On the Geometry of Point-Transformation Invariant Class of Third-Order Ordinary Differential Equations
Matematičeskie zametki, Tome 77 (2005) no. 5, pp. 719-726

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

Applying geometric methods, we study a class of third-order ordinary differential equations closed with respect to point transformations. We associate with such an equation the pseudovector fields formed by its coefficients. The equation possesses a maximal algebra of point-transformation symmetries if five pseudovector fields vanish. 
@article{MZM_2005_77_5_a5,
     author = {V. V. Kartak},
     title = {On the {Geometry} of {Point-Transformation} {Invariant} {Class} of {Third-Order} {Ordinary} {Differential} {Equations}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {719--726},
     publisher = {mathdoc},
     volume = {77},
     number = {5},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2005_77_5_a5/}
}
TY  - JOUR
AU  - V. V. Kartak
TI  - On the Geometry of Point-Transformation Invariant Class of Third-Order Ordinary Differential Equations
JO  - Matematičeskie zametki
PY  - 2005
SP  - 719
EP  - 726
VL  - 77
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2005_77_5_a5/
LA  - ru
ID  - MZM_2005_77_5_a5
ER  - 
%0 Journal Article
%A V. V. Kartak
%T On the Geometry of Point-Transformation Invariant Class of Third-Order Ordinary Differential Equations
%J Matematičeskie zametki
%D 2005
%P 719-726
%V 77
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2005_77_5_a5/
%G ru
%F MZM_2005_77_5_a5
V. V. Kartak. On the Geometry of Point-Transformation Invariant Class of Third-Order Ordinary Differential Equations. Matematičeskie zametki, Tome 77 (2005) no. 5, pp. 719-726. http://geodesic.mathdoc.fr/item/MZM_2005_77_5_a5/