Geodesic
Cauchy and Goursat problems for differential equation of third order
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 7 (2015) no. 2, pp. 31-43

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Cauchy and Goursat problems for the hyperbolic equation of third order are considered. The theorem of the existence of the Riemann function is proved and on the basis of the aforementioned function solutions for the Cauchy and Goursat problems are introduced.
Keywords: Cauchy and Goursat problems; hyperbolic equation of third order; Riemann function. 
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     author = {V. V. Karachik},
     title = {Cauchy and {Goursat} problems for differential equation of third order},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matematika, mehanika, fizika},
     pages = {31--43},
     publisher = {mathdoc},
     volume = {7},
     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURM_2015_7_2_a3/}
}
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V. V. Karachik. Cauchy and Goursat problems for differential equation of third order. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 7 (2015) no. 2, pp. 31-43. http://geodesic.mathdoc.fr/item/VYURM_2015_7_2_a3/