Geodesic
Modified Cauchy Problem for One Hyperbolic Equation of the Third Order in Three-dimensional Space
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2009), pp. 41-46.

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

Existence and uniqueness of the solution for the modified Cauchy problem with data located on the plane of singularity of a hyperbolic equation of the third order coefficients in three-dimensional space is proved by Riemann method.
Keywords: integral equations, hyperbolic differential equations. 
@article{VSGTU_2009_1_a4,
     author = {V. M. Dolgopolov and I. N. Rodionova},
     title = {Modified {Cauchy} {Problem} for {One} {Hyperbolic} {Equation} of the {Third} {Order} in {Three-dimensional} {Space}},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {41--46},
     publisher = {mathdoc},
     number = {1},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2009_1_a4/}
}
TY  - JOUR
AU  - V. M. Dolgopolov
AU  - I. N. Rodionova
TI  - Modified Cauchy Problem for One Hyperbolic Equation of the Third Order in Three-dimensional Space
JO  - Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
PY  - 2009
SP  - 41
EP  - 46
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VSGTU_2009_1_a4/
LA  - ru
ID  - VSGTU_2009_1_a4
ER  - 
%0 Journal Article
%A V. M. Dolgopolov
%A I. N. Rodionova
%T Modified Cauchy Problem for One Hyperbolic Equation of the Third Order in Three-dimensional Space
%J Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
%D 2009
%P 41-46
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VSGTU_2009_1_a4/
%G ru
%F VSGTU_2009_1_a4
V. M. Dolgopolov; I. N. Rodionova. Modified Cauchy Problem for One Hyperbolic Equation of the Third Order in Three-dimensional Space. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2009), pp. 41-46. http://geodesic.mathdoc.fr/item/VSGTU_2009_1_a4/

[1] Volkodavov V. F., Dorofeev A. V., “Zadacha Koshi dlya odnogo vyrozhdayuschegosya giperbolicheskogo uravneniya tretego poryadka”, Izv. vuzov. Matematika, 1993, no. 11, 6–8 | MR | Zbl

[2] Volkodavov V. F., Rodionova I. N., “Vidoizmenennaya zadacha Koshi dlya odnogo vyrozhdayuschegosya uravneniya tretego poryadka”, Integralni peretvorennya ta ix zastusovannya do kraiovikh zadach, no. 10, Akademiya nauk Ukrainy. Institut Matemtiki, Kiev, 1995, 19–25

[3] Volkodavov V. F., Zakharov V. N., Bystrova O. R., Nikolaev N. Ya., Funktsii Rimana dlya nekotorykh differentsialnykh uravnenii v $n$-mernom evklidovom prostrantsve i ikh primeneniya, Samarskii un-t, Samara, 1995

[4] Beitmen G., Erdeii A., Vysshie transtsendentnye funktsii, v. I, Nauka, M., 1973, 183 pp.