Geodesic
Special class of of Liouville-type hyperbolic equations
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential equations. Mathematical physics, Tome 137 (2017), pp. 17-25 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

In this paper, we obtain differential substitutions for a special class of Liouville-type equations that simplify these equations. We present necessary and sufficient conditions of the existence of $y$-integrals of the second order. We examine the principal case of necessary and sufficient conditions of the existence of $y$-integrals.
Keywords: $x$-integral, $y$-integral, differential substitution.
Mots-clés : Liouville-type equation 
@article{INTO_2017_137_a1,
     author = {A. V. Zhiber and A. M. Yur'eva},
     title = {Special class of of {Liouville-type} hyperbolic equations},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {17--25},
     year = {2017},
     volume = {137},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2017_137_a1/}
}
TY  - JOUR
AU  - A. V. Zhiber
AU  - A. M. Yur'eva
TI  - Special class of of Liouville-type hyperbolic equations
JO  - Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
PY  - 2017
SP  - 17
EP  - 25
VL  - 137
UR  - http://geodesic.mathdoc.fr/item/INTO_2017_137_a1/
LA  - ru
ID  - INTO_2017_137_a1
ER  - 
%0 Journal Article
%A A. V. Zhiber
%A A. M. Yur'eva
%T Special class of of Liouville-type hyperbolic equations
%J Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
%D 2017
%P 17-25
%V 137
%U http://geodesic.mathdoc.fr/item/INTO_2017_137_a1/
%G ru
%F INTO_2017_137_a1
A. V. Zhiber; A. M. Yur'eva. Special class of of Liouville-type hyperbolic equations. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential equations. Mathematical physics, Tome 137 (2017), pp. 17-25. http://geodesic.mathdoc.fr/item/INTO_2017_137_a1/